dMAT DEPARTAMENTO
DE MATEMÁTICA
Facultad de Ciencias · Universidad del Bío-Bío

INVESTIGACIÓN

Publicaciones

2022

Periodic, permanent, and extinct solutions to population models

Robert Hakl and José Oyarce

Journal of Mathematical Analysis and Applications · vol. 514 · n.º 1 · pp. 126262

Error estimates for a vorticity-based velocity-stress formulation of the Stokes eigenvalue problem.

Felipe Lepe and Gonzalo Rivera and Jesús Vellojin

Journal of Computational and Applied Mathematics · vol. 40 · n.º 114798 · pp. 20pp

About the stability to Timoshenko system with pointwise dissipation

Jaime Muñoz Rivera and Maria Naso

Discrete and Continuous Dynamical Systems - Series S · vol. 15 · n.º 8 · pp. 2289-2303

A posteriori analysis for a mixed FEM discretization of the linear elasticity spectral problem.

Felipe Lepe and Gonzalo Rivera and Jesús Vellojin

Journal of Scientific Computing · vol. 93 · n.º 1 · pp. 25

A posteriori error analysis of a momentum conservative Banach spaces based mixed-FEM for the Navier–Stokes problem

Jessika Camaño and Sergio Caucao and Ricardo Oyarzúa and Segundo Villa-Fuentes

Applied Numerical Mathematics · vol. 176 · pp. 134--158

Crossing limit cycles for discontinuous piecewise linear differential centers separated by three parallel straight lines

Maria Elisa Anacleto and Jaume Llibre and Claudia Valls and Claudio Vidal

Rendiconti del Circolo Matematico di Palermo 2

A C1 virtual element method for the stationary quasi-geostrophic equations of the ocean

David Mora and Alberth Silgado

Computers and Mathematics with Applications · vol. 116 · pp. 212-228

On the local existence for Hardy parabolic equations with singular initial data

Ricardo Castillo and Omar Guzmán-Rea and Miguel Loayza

Journal of Mathematical Analysis and Applications · vol. 510 · n.º 2 · pp. 126022

Planar central configurations of six bodies

Antonio Fernandes and Luis Mello and Lucas Ruiz and Claudio Vidal

Journal of Mathematical Physics · vol. 63 · n.º 6 · pp. 62701

Mixed methods for the velocity-pressure-pseudostress formulation of the Stokes eigenvalue problem.

Felipe Lepe and Gonzalo Rivera and Jesús Vellojin

SIAM Journal on Scientific Computing · vol. 44 · n.º 3 · pp. A1358--A1380

Laminated Timoshenko beams with interfacial slip and infinite memories

Aissa Guesmia and Jaime Muñoz Rivera and Mauricio Sepúlveda and Octavio Vera

Mathematical Methods in the Applied Sciences · vol. 45 · n.º 8 · pp. 4408--4427

Analysis of an unfitted mixed finite element method for a class of quasi-Newtonian Stokes flow

Ricardo Oyarzúa and Manuel Solano and Paulo Zúñiga

Computers and Mathematics with Applications · vol. 114 · pp. 225--243

Addition theorems for C^k real functions and applications in ordinary differential equations

Francisco Crespo and Salomón Rebollo-Perdomo and Jorge Zapata

Aequationes Mathematica · vol. 96 · n.º 2 · pp. 431-452

Convergence Analysis of Virtual Element Method for Nonlinear Nonlocal Dynamic Plate Equation

Dibyendu Adak and David Mora and Sundararajan Natarajan

Journal of Scientific Computing · vol. 91 · n.º 1 · pp. 23

Local existence for evolution equations with nonlocal term in time and singular initial data

Aldryn Aparcana and Ricardo Castillo and Omar Guzmán-Rea and Miguel Loayza

Zeitschrift fur Angewandte Mathematik und Physik · vol. 73 · n.º 2 · pp. 85

Nonlocal reaction traffic flow model with on-off ramps

Felisia Chiarello and Harold Contreras and Luis Miguel Villada

Networks and Heterogeneous Media · vol. 17 · n.º 2 · pp. 203-226

Numerical Solution of an Axisymmetric Eddy Current Model with Current and Voltage Excitations

Alfredo Bermúdez and Bibiana López-Rodríguez and Francisco Peña and Rodolfo Rodríguez and Pilar Salgado and Pablo Venegas

Journal of Scientific Computing · vol. 91 · n.º 1 · pp. 8

Finite-Expansivity and N-Shadowing

Dante Carrasco-Olivera and Keonhee Lee and Carlos Morales and Helmuth Villavicencio

Bulletin of the Brazilian Mathematical Society · vol. 53 · n.º 1 · pp. 107-126

Modified quasispecies model: the analysis of a periodic therapy

Jorge Zapata and Elisa Martínez and Francisco Crespo

Journal of Mathematical Biology · vol. 84 · n.º 4 · pp. 29

Algebraic and topological classification of homogeneous quartic vector fields in the plane

Jaume Llibre and Y. Paulina Martínez and Claudio Vidal

Annali di Matematica Pura ed Applicata · vol. 201 · n.º 1 · pp. 37-55

Mixed approximation of the axisymmetric acoustic eigenvalue problem

José Querales and Pablo Venegas

Computers and Mathematics with Applications · vol. 108 · pp. 1-11

On the Parametric Stability of the Isosceles Triangular Libration Points in the Planar Elliptical Charged Restricted Three-body Problem

Yocelyn Pérez-Rothen and Lucas Valeriano and Claudio Vidal

Regular and Chaotic Dynamics · vol. 27 · n.º 1 · pp. 98-121

2021

Solving dynamic stochastic models with multiple occasionally binding constraints.

Ernesto Guerra and Eugenio Bobenrieth and Juan Bobenrieth and Brian D. Wing

Economic Modelling · vol. 105 · n.º 105636

Nonlinear stability of elliptic equilibria in Hamiltonian systems with exponential time estimates.

Daniela Cárcamo and Jesús Palacián and Patricia Yanguas and Claudio Vidal

DCDS · vol. 41 · n.º 11 · pp. 5183-5208

Topological stability for fuzzy expansive maps

Leonel Badilla and Dante Carrasco-Olivera and Victor Sirvent and Helmuth Villavicencio

Fuzzy Sets and Systems · vol. 425 · pp. 34-47

A virtual element discretization for the time dependent Navier-Stokes equations in stream-function formulation

Dibyendu Adak and David Mora and Sundararajan Natarajan and Alberth Silgado

ESAIM Math. Model. Numer. Anal. · vol. 55 · n.º 5 · pp. 2535-2566

A C1-C0 conforming virtual element discretization for the transmission eigenvalue problem.

David Mora and Iván Velásquez

Res. Math. Sci. · vol. 8 · n.º 4-56 · pp. 21pp

Velocity-vorticity-pressure formulation for the Oseen problem with variable viscosity

Verónica Anaya and Rubén Caraballo and Bryan Gómez-Vargas and David Mora and RIcardo Ruiz Baier

Calcolo · vol. 58 · n.º 4-44 · pp. 25pp

Symbolic dynamics in the restricted elliptic isosceles three body problem.

Marcel Guardia and Jaime Paradela and Tere Seara and Claudio Vidal

Journal of Differential Equations · vol. 294 · pp. 143-177

Limit cycles of discontinuous piecewise differential systems formed by linear centers in R2 and separated by two circles

María Anacleto and Jaume Llibre and Claudia Valls and Claudio Vidal

Nonlinear Analysis Real World Applications · vol. 60 · n.º 103281,

Numerical approximation of the displacement formulation of the axisymmetric the acoustic vibration problem

José Querales and Rodolfo Rodríguez and Pablo Venegas

SIAM Journal on Scientific Computing · vol. 43 · n.º 1 · pp. A1583-A1606

Periodic solutions of a tumor- immune system interaction under a periodic immunotherapy.

Gladys Torres-Espino and Claudio Vidal

Discrete & Continuous Dynamical Systems - B · vol. 26 · n.º 8 · pp. 4523-4547

Local existence and nonexistence for a fractional reaction–diffusion equation in Lebesgue spaces

Ricardo Castillo and Miguel Loayza and Arlúcio Viana

Fract. Calc. Appl. Anal. · vol. 24 · n.º 4 · pp. 1193-1219

Nonlinear stability in the spatial attitude motion of a satellite in a circular orbit.

Daniela Cárcamo and Jesus Palacián And Patricia Yanguas and Claudio Vidal

SIAM Journal on Applied Dynamical Systems · vol. 20 · n.º 3 · pp. 1421–1463

Stacked central configurations in the 5-vortex problem.

Antonio Fernandes and Claudio Vidal

Journal of Nonlinear Science volume · vol. 31 · n.º 83

Relative equilibria, stability and bifurcations in Hamiltonian galactic tidal models

Francisco Crespo and Sebastián Ferrer and Jorge Zapata

Dynamical Systems: An International Journal · vol. 36 · n.º 1 · pp. 19-38

Stability of the relative equilibria in the two-body problem on the sphere.

Jaime Andrade and Claudio Sierpe and Claudio Vidal

Regular and Chaotic Dynamics volume · vol. 24 · n.º 6 · pp. 402-438

A posteriori error estimates in W^(1,p)x L^p spaces for the Stokes system with Dirac measures.

Felipe Lepe and Francisco Fuica and Enrique Otarola and Daniel Quero

Computers & Mathematics with Applications. · vol. 94 · n.º 2 · pp. 47-59

Convexity and symmetry of central configurations in the five-body problem: Lagrange plus two.

Ester Barrabés and Josep M Cors and Antonio Fernandes and Claudio Vidal

Qualitative Theory of Dynamical Systems · vol. 20 · n.º 63

A Virtual Element Method for the Steklov Eigenvalue Problem Allowing Small Edges

Felipe Lepe and David Mora and Gonzalo Rivera and Iván Velásquez

Journal of Scientific Computing. · vol. 88 · n.º 2 · pp. 21

Virtual elements for the transmission eigenvalue problem on polytopal meshes

David Mora and Iván Velásquez

SIAM J. Sci. Comput. · vol. 43 · n.º 4 · pp. A2425-A2447

Quasi-stationary distribution and metastability for the stochastic Becker-Döring model

Erwan Hingant and Romain Yvinec

Electron. Commun. Probab. · vol. 26 · n.º 43 · pp. 14pp

A multiclass Lighthill-Whitham-Richards traffic model with a discontinuous velocity function

Raimund Bürger and Christophe Chalons and Rafael Ordoñez and Luis Miguel Villada

Netw. Heterog. Media · vol. 16 · n.º 2 · pp. 187-219

Gevrey class of locally dissipative Euler-Bernoulli beam equation

Gerardo Gómez and Jaime Muñoz Rivera and Z. Liu

SIAM J. Control Optim · vol. 59 · n.º 3 · pp. 2174–2194

Analysis of a momentum conservative mixed-FEM for the stationary Navier-Stokes problem

Jessika Camaño and Carlos García and Ricardo Oyarzúa

Numer. Methods Partial Differential Equations · vol. 37 · n.º 5 · pp. 2895-2923

Remotely Almost Periodic Solutions of Ordinary Differential Equations

Christopher Maulén and Samuel Castillo and Marko Kostic and Manuel Pinto

Journal of Mathematics · vol. 2021 · pp. 1-9

On circulant like matrices properties involving Horadam, Fibonacci, Jacobsthal and Pell numbers

Enide Andrade and Dante Carrasco-Olivera and Cristina Manzaneda

Linear Algebra and its Applications · vol. 617 · pp. 100-120

Error estimates for FEM discretizations of the Navier–Stokes equations with Dirac measures.

Felipe Lepe and Enrique Otarola and Daniel Quero

Journal of Scientific Computing volume · vol. 87 · n.º 2 · pp. 23

Putting the empirical commodity storage model back on track: crucial implications of a "negligible" trend

Eugenio Bobenrieth and Juan Bobenrieth and Ernesto Guerra and Brian Wright and Di Zeng

American Journal of Agricultural Economics · vol. 103 · n.º 36 · pp. 1034-1057

First kind symmetric periodic solutions and their stability for the Kepler problem and anisotropic Kepler problem plus generalized anisotropic perturbation.

Angelo Alberti and Claudio Vidal

Nonlinear Analysis: Real World Applications · vol. 58 · n.º 103238

A priori error analysis for a mixed VEM discretization of the spectral problem for the Laplacian operator

Felipe Lepe and Gonzalo Rivera

Calcolo · vol. 58 · n.º 2 · pp. 30

An elementary proof of the existence of monotone traveling waves solutions in a generalized Klein–Gordon equation

Adrián Gómez and Nolbert Morales and Manuel Zamora

Mathematical Methods in the applied sciences · vol. 44 · n.º 13 · pp. 10785-10789

Algebraic and Topological Classification of Homogeneous Quartic Vector Fields in the Plane

Y. Paulina Martínez and Jaume Llibre and Claudio Vidal

Annali di Matematica Pura ed Applicata

Residual-based a posteriori error analysis for the coupling of the Navier–Stokes and Darcy–Forchheimer equations

Sergio Caucao and Gabriel Gatica and Ricardo Oyarzúa and Felipe Sandoval

ESAIM Math. Model. Numer. Anal. · vol. 55 · n.º 2 · pp. 659-687

Symmetric periodic solutions for the spatial Maxwell restricted N+1-problem with Manev potential.

Mauricio Ascencio and Claudio Vidal

Qual. Theory Dyn. Syst. · vol. 20 · n.º 2

A virtual element method for the von Kármán equations.

Carlo Lovadina and David Mora and Iván Velásquez

ESAIM: Math. Model. Numer. Anal. · vol. 55 · n.º 2 · pp. 533-560

A virtual element approximation for the pseudostress formulation of the Stokes eigenvalue problem

Felipe Lepe and Gonzalo Rivera

Computer Methods in Applied Mathematics and Engineering · vol. 379 · n.º 1 · pp. 113753

Stability of a Timoshenko system with localized Kelvin-Voigt dissipation.

Gabriel Aguilera and Jaime Muñoz Rivera

Applied Mathematics & Optimization · vol. 83 · n.º 3 · pp. 3547–3563

Error analysis of a conforming and locking-free four-field formulation for the stationary Biot’s model.

Ricardo Oyarzúa and Sander Rhebergen and Manuel Solano and Paulo Zúñiga

ESAIM Math. Model. Numer. Anal. · vol. 55 · pp. S475-S506.

The initial-boundary value problem for the Lifshitz-Slyozov equation with non-smooth rates at the boundary

Juan Calvo and Erwan Hingant and Romain Yvinec

Nonlinearity · vol. 34 · n.º 4 · pp. 1975-2017

Banach spaces-based analysis of a fully-mixed finite element method for the steady-state model of fluidized beds

Gabriel Gatica and Ricardo Oyarzúa and Ricardo Ruiz-Baier and Yuri Sobral

Comput. Math. Appl. · vol. 84 · pp. 244-276

Mixed Kirchhoff stress-displacement-pressure formulations for incompressible hyperelasticity.

Patrick Farrell and Luis Gatica and Bishnu Lamichhane and Ricardo Oyarzúa and Ricardo Ruiz-Baier

Computer Methods in Applied Mechanics and Engineering · vol. 374 · n.º 113562

Virtual element methods for the three-field formulation of time-dependent linear poroelasticity

Raimund Bürger and Sarvesh Kumar and David Mora and Ricardo Ruiz-Baier and Nitesh Verma

Advances in Computational Mathematics · vol. 47 · n.º 2 · pp. 37pp

Stability for a boundary contact problem in thermoelastic Timoshenko’s beam

Jaime Muñoz Rivera and Carlos Costa da Baldez

Z. Angew. Math. Phys. · vol. 72 · n.º 8

2020

Limit cycles bifurcating of Kolmogorov systems in R^2 and in R^3.

Jaume Llibre and Y. Paulina Martínez and Claudia Valls

Communications in Nonlinear Science and Numerical Simulation · vol. 91 · n.º 105401

On Moser’s Regularization of the Kepler System. Positive and Negative Energies

Francisco Crespo and Sebastián Ferrer

Canadian Mathematical Bulletin · vol. 64 · n.º 44 · pp. 970-983

Uniform approximation of impulsive Hopfield cellular neural networks by piecewise constant arguments on [τ,∞)

Ricardo Torres and Samuel Castillo and Marko Kostic and Manuel Pinto

Acta Appl. Math. · vol. 171 · n.º 8 · pp. 23pp

Stability and expansivity of tent map

Dante Carrasco-Olivera and Carlos Morales and Helmuth Villavicencio

Proc. Amer. Math. Soc · vol. 149 · n.º 2 · pp. 773-786

Reduced 4D Oscillators and Orbital Elements in Keplerian Systems. Cushman-Deprit Coordinates

Francisco Crespo and Sebastián Ferrer and Jorge Zapata

Celestial Mechanics and Dynamical Astronomy · vol. 132 · n.º 52 · pp. 11-12

Logarithmic expansion, entropy, and dimension for set-valued maps

Dante Carrasco-Olivera and Roger Metzger and Carlos Morales

Togi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz. · vol. 178 · n.º 1 · pp. 31-40

Inverse eigenproblems of real symmetric doubly arrowhead matrices

Hubert Pickmann-Soto and Susana Arela and Juan C Egaña and Dante Carrasco-Olivera

Proyecciones · vol. 39 · n.º 5 · pp. 1315-1331

Alternative reduction by stages of Keplerian systems. Positive, negative and zero energy

Francisco Crespo and Sebastián Ferrer

SIAM Journal on Applied Dynamical Systems · vol. 19 · n.º 2 · pp. 1525–1539

Some generalizations of distality

Jesus Aponte and Dante Carrasco-Olivera and Keonhee Lee and Carlos Morales

Topol. Methods Nonlinear Anal. · vol. 55 · n.º 2 · pp. 533–552

4-vortex trapezoidal central configurations

Antonio Fernandes and Claudio Vidal

Bulletin of the Brazilian Mathematical Society, New Series · vol. 52 · pp. 361–389

On exponential stability for thermoelastic plates: comparison and singular limits.

Jaime Muñoz Rivera and Reinhard Racke and Mauricio Sepúlveda and Octavio Vera

Appl. Math. Optim · vol. 84 · n.º 1 · pp. 1045-1081

$(ømega,c)$-asymptotically periodic functions, first-order Cauchy problem, and Lasota-Wazewska model with unbounded oscillating production of red cells

Edgardo Álvarez and Samuel Castillo and Manuel Pinto

Math. Methods Appl. Sci. · vol. 43 · n.º 1 · pp. 305--319

$(SO(3) times Bbb T^4)$-reduction and relative equilibria for a radial axisymmetric intermediary model for roto-orbital motion

Francisco Crespo and Sebastián Ferrer and Jan-Cees van der Meer

J. Geom. Phys. · vol. 150 · pp. 103611, 15

$N$-body Đynamics on an Infinite Cylinder: the Ŧopological Signature in the Đynamics

Jaime Andrade and Stefanella Boatto and Thierry Combot and Gladston Duarte and Teresinha J Stuchi

Regul. Chaotic Dyn. · vol. 25 · n.º 1 · pp. 78--110

A five-field augmented fully-mixed finite element method for the Navier-Stokes/Đarcy coupled problem

Gabriel Gatica and Ricardo Oyarzúa and Nathalie Valenzuela

Comput. Math. Appl. · vol. 80 · n.º 8 · pp. 1944--1963

A new mixed finite element method for the $n$-dimensional Boussinesq problem with temperature-dependent viscosity

Javier Almonacid and Gabriel Gatica and Ricardo Oyarzúa and Ricardo Ruiz-Baier

Netw. Heterog. Media · vol. 15 · n.º 2 · pp. 215--245

A priori and a posteriori error analyses of a high order unfitted mixed-FEM for Stokes flow

Ricardo Oyarzúa and Manuel Solano and Paulo Zúñiga

Comput. Methods Appl. Mech. Engrg. · vol. 360 · pp. 112780, 40

A virtual element method for a nonlocal FitzĦugh-Nagumo model of cardiac electrophysiology

Verónica Anaya and Mostafa Bendahmane and David Mora and Mauricio Sepúlveda

IMA J. Numer. Anal. · vol. 40 · n.º 2 · pp. 1544--1576

Asymptotic to systems with memory and non-local initial data

Jaime Muñoz Rivera and Verónica Poblete and Juan Pozo C and Octavio Vera

Rev. Math. Phys. · vol. 32 · n.º 5 · pp. 2050014, 27

Bifurcations in the quasispecies model for cancer growth dynamics

Francisco Crespo

Nonlinear Stud. · vol. 27 · n.º 2 · pp. 357--366

Conservative discontinuous finite volume and mixed schemes for a new four-field formulation in poroelasticity

Sarvesh Kumar and Ricardo Oyarzúa and Ricardo Ruiz-Baier and Ruchi Sandilya

ESAIM Math. Model. Numer. Anal. · vol. 54 · n.º 1 · pp. 273--299

Dynamics and bifurcation of passive tracers advected by a ring of point vortices on a sphere

Jaime Andrade and Stefanella Boatto and Claudio Vidal

J. Math. Phys. · vol. 61 · n.º 5 · pp. 052702, 26

Dynamics of a delayed predator-prey model with Allee effect and Ħolling type II functional response

María Anacleto and Claudio Vidal

Math. Methods Appl. Sci. · vol. 43 · n.º 9 · pp. 5708--5728

Dynamics of a family of Lotka-Volterra systems in $Bbb R^3$

Jaume Llibre and Y. Paulina Martínez

Nonlinear Anal. · vol. 199 · pp. 111915, 15

Exponential stability of a flexible structure with history and thermal effect

Roberto Díaz and Jaime Muñoz Rivera and Carlos Martínez and Octavio Vera

Appl. Math. · vol. 65 · n.º 4 · pp. 407--420

Global dynamics of a Lotka-Volterra system in $Bbb R^3$

Jaume Llibre and Y. Paulina Martínez and Claudia Valls

J. Nonlinear Math. Phys. · vol. 27 · n.º 3 · pp. 509--519

it A priori and it a posteriori error estimates for a virtual element spectral analysis for the elasticity equations

David Mora and Gonzalo Rivera

IMA J. Numer. Anal. · vol. 40 · n.º 1 · pp. 322--357

Lagrangian-antidiffusive remap schemes for non-local multi-class traffic flow models

Felisia Chiarello Angela and Paola Goatin and Luis Miguel Villada

Comput. Appl. Math. · vol. 39 · n.º 2 · pp. Paper No. 60, 22

Limit cycles of a perturbation of a polynomial Ħamiltonian systems of degree 4 symmetric with respect to the origin

Jaume Llibre and Y. Paulina Martínez and Claudio Vidal

Canad. Math. Bull. · vol. 63 · n.º 3 · pp. 547--561

Mathematical analysis and numerical solution of models with dynamic Preisach hysteresis

Alfredo Bermúdez and Dolores Gómez and Pablo Venegas

J. Comput. Appl. Math. · vol. 367 · pp. 112452, 18

MĢehee blow-up of the Kepler problem on surfaces of constant curvature

Jaime Andrade and Francisco Crespo and Y. Paulina Martínez and Claudio Vidal

Qual. Theory Dyn. Syst. · vol. 19 · n.º 1 · pp. Paper No. 13, 19

Normalization and existence of invariant ray solutions of a 2-DOF autonomous Ħamiltonian system with null frequencies

Francisco Crespo and Claudio Vidal and Dilver Espejo

Qual. Theory Dyn. Syst. · vol. 19 · n.º 1 · pp. Paper No. 18, 32

Number of zeros of complete abelian integrals for a primitive rational polynomial with non-trivial global monodromy

Salomón Rebollo-Perdomo and Marco Uribe

Bull. Braz. Math. Soc. (N.S.) · vol. 51 · n.º 3 · pp. 697--717

Numerical analysis of a three-species chemotaxis model

Raimund Bürger and Rafael Rodoñez and Mauricio Sepúlveda and Luis Miguel Villada

Comput. Math. Appl. · vol. 80 · n.º 1 · pp. 183--203

Numerical analysis of a time domain elastoacoustic problem

Rodolfo Araya and Rodolfo Rodríguez and Pablo Venegas

IMA J. Numer. Anal. · vol. 40 · n.º 2 · pp. 1122--1153

On the global dynamics and integrability of the chemostat system

Y. Paulina Martínez and Claudia Valls

Nonlinear Anal. Real World Appl. · vol. 53 · pp. 103051, 27

On the global dynamics of a three-dimensional forced-damped differential system

Jaume Llibre and Y. Paulina Martínez and Claudia Valls

J. Nonlinear Math. Phys. · vol. 27 · n.º 3 · pp. 414--428

On the local existence for a weakly parabolic system in Lebesgue spaces

Aldryn Aparcana and Ricardo Castillo and Omar Guzmán-Rea and Miguel Loayza

J. Differential Equations · vol. 268 · n.º 6 · pp. 3129--3151

On the uniqueness of the isoceles trapezoidal central configuration in the 4-body problem for power-law potentials

Antonio Fernandes and Luis Fernando Mello and Claudio Vidal

Nonlinearity · vol. 33 · n.º 1 · pp. 388--407

Predator interference in a Leslie-Gower intraguild predation model

Manuel Falconi and Yrina Vera-Damián and Claudio Vidal

Nonlinear Anal. Real World Appl. · vol. 51 · pp. 102974, 37

Rotation-based mixed formulations for an elasticity-poroelasticity interface problem

Verónica Anaya and Zoa de Wijn and Bryan Gómez-Vargas and David Mora and Ricardo Ruiz-Baier

SIAM J. Sci. Comput. · vol. 42 · n.º 1 · pp. B225--B249

Stability in thermoviscoelasticity with second sound

Gerardo Gómez and Jaime Muñoz Rivera and Octavio Vera

Appl. Math. Optim. · vol. 82 · n.º 1 · pp. 135--150

Symmetric and nonsymmetric discontinuous Galerkin methods for a pseudostress formulation of the Stokes spectral problem

Felipe Lepe and David Mora

SIAM J. Sci. Comput. · vol. 42 · n.º 2 · pp. A698--A722

Virtual element for the buckling problem of Kirchhoff-Love plates

David Mora and Iván Velásquez

Comput. Methods Appl. Mech. Engrg. · vol. 360 · pp. 112687, 22

2019

Asymptotic behavior in a laminated beams due interfacial slip with a boundary dissipation of fractional derivative type.

Tita Maryati and Jaime Muñoz Rivera and Octavio Vera

Applied Mathematics & Optimization · vol. 84 · n.º 1 · pp. 85-102

$(ømega,c)$-pseudo periodic functions, first order Cauchy problem and Lasota-Wazewska model with ergodic and unbounded oscillating production of red cells

Edgardo Álvarez and Samuel Castillo and Manuel Pinto

Bound. Value Probl. · pp. Paper No. 106, 20

A high order mixed-FEM for diffusion problems on curved domains

Ricardo Oyarzúa and Manuel Solano and Paulo Zúñiga

J. Sci. Comput. · vol. 79 · n.º 1 · pp. 49--78

A posteriori error analysis of an augmented fully-mixed formulation for the stationary Boussinesq model

Eligio Colmenares and Gabriel Gatica and Ricardo Oyarzúa

Comput. Math. Appl. · vol. 77 · n.º 3 · pp. 693--714

A reaction-diffusion predator-prey model with pursuit, evasion, and nonlocal sensing

Paulo Amorim and Bruno Telch and Luis Miguel Villada

Math. Biosci. Eng. · vol. 16 · n.º 5 · pp. 5114--5145

Acoustic vibration problem for dissipative fluids

Felipe Lepe and Salim Meddahi and David Mora and Rodolfo Rodríguez

Math. Comp. · vol. 88 · n.º 315 · pp. 45--71

Analysis and approximation of a vorticity-velocity-pressure formulation for the Oseen equations

Verónica Anaya and Afaf Bouharguane and David Mora and Carlos Reales and Ricardo Ruiz-Baier and Nour Seloula and Hector Torres

J. Sci. Comput. · vol. 80 · n.º 3 · pp. 1577--1606

Analyticity of hybrid systems arising in visco and thermo elastic structures

Marcio Ferreira and Jaime Muñoz Rivera

J. Math. Anal. Appl. · vol. 479 · n.º 1 · pp. 643--657

Asymptotic formulae for solutions to impulsive differential equations with piecewise constant argument of generalized type

Samuel Castillo and Manuel Pinto and Ricardo Torres

Electron. J. Differential Equations · pp. Paper No. 40, 22

Correction to: Finite element approximation of the spectrum of the curl operator in a multiply connected domain [ MR3875845]

Ana Alonso-Rodríguez and Jessika Camaño and Rodolfo Rodríguez and Alberto Valli and Pablo Venegas

Found. Comput. Math. · vol. 19 · n.º 1 · pp. 243--244

Dynamics and bifurcations of a modified Leslie-Gower-type model considering a Beddington-ĐeAngelis functional response

Yrina Vera-Damián and Claudio Vidal and Eduardo González-Olivares

Math. Methods Appl. Sci. · vol. 42 · n.º 9 · pp. 3179--3210

Dynamics and periodic solutions in cubic polynomial Ħamiltonian systems

Dante Carrasco-Olivera and Claudio Vidal

Qual. Theory Dyn. Syst. · vol. 18 · n.º 2 · pp. 383--403

Dynamics of the parabolic restricted collinear three-body problem

Joaquín Delgado and Claudio Vidal

SIAM J. Appl. Dyn. Syst. · vol. 18 · n.º 1 · pp. 172--204

Global existence and blowup for a coupled parabolic system with time-weighted sources on a general domain

Ricardo Castillo and Miguel Loayza

Z. Angew. Math. Phys. · vol. 70 · n.º 2 · pp. Paper No. 57, 16

Implicit-explicit schemes for nonlinear nonlocal equations with a gradient flow structure in one space dimension

Raimund Bürger and Daniel Inzunza and Pep Mulet and Luis Miguel Villada

Numer. Methods Partial Differential Equations · vol. 35 · n.º 3 · pp. 1008--1034

Incorporating variable viscosity in vorticity-based formulations for Brinkman equations

Verónica Anaya and Bryan Gómez-Vargas and David Mora and Ricardo Ruiz-Baier

C. R. Math. Acad. Sci. Paris · vol. 357 · n.º 6 · pp. 552--560

Instability of equilibrium solutions of Ħamiltonian systems with $n$-degrees of freedom under the existence of multiple resonances and an application to the spatial satellite problem

Daniela Cárcamo and Claudio Vidal

J. Dynam. Differential Equations · vol. 31 · n.º 2 · pp. 853--882

Medium amplitude limit cycles in second order perturbed polynomial Liénard systems

Salomón Rebollo-Perdomo and Vanessa Salas-Mendoza

J. Math. Anal. Appl. · vol. 473 · n.º 1 · pp. 609--621

Mixed discontinuous Galerkin approximation of the elasticity eigenproblem

Felipe Lepe and Salim Meddahi and David Mora and Rodolfo Rodríguez

Numer. Math. · vol. 142 · n.º 3 · pp. 749--786

Mixed displacement-rotation-pressure formulations for linear elasticity

Verónica Anaya and Zoa de Wijn and David Mora and Ricardo Ruiz-Baier

Comput. Methods Appl. Mech. Engrg. · vol. 344 · pp. 71--94

On the inverse eigenproblem for symmetric and nonsymmetric arrowhead matrices

Hubert Pickmann-Soto and Susana Arela and Juan C Egaña and Dante Carrasco-Olivera

Proyecciones · vol. 38 · n.º 4 · pp. 811--828

Periodic motion in non-axially symmetric galaxies

Jaume Llibre and Claudio Vidal

J. Geom. Phys. · vol. 140 · pp. 1--9

Periodic solutions, KAM tori and bifurcations in a cosmology-inspired potential

Jesús Palacián and Claudio Vidal and Jhon Vidarte and Patricia Yanguas

Nonlinearity · vol. 32 · n.º 9 · pp. 3406--3444

Phase portraits of linear type centers of polynomial Ħamiltonian systems with Ħamiltonian function of degree 5 of the form $H=H_1(x)+H_2(y)$

Jaume Llibre and Y. Paulina Martínez and Claudio Vidal

Discrete Contin. Dyn. Syst. · vol. 39 · n.º 1 · pp. 75--113

Remark on the stabilization for a Schrödinger equation with double power nonlinearity

Jaime Muñoz Rivera and Verónica Poblete and Mauricio Sepúlveda and Hector Vargas and Octavio Vera

Appl. Math. Lett. · vol. 98 · pp. 63--69

Remarks about spatially structured SI model systems with cross diffusion

Verónica Anaya and Mostafa Bendahmane and Michel Langlais and Mauricio Sepúlveda

vol. 47 · pp. 43--64

Stability of a thermoelastic mixture with second sound

Margareth Alves and Marcio Ferreira and Jaime Muñoz Rivera and Octavio Vera

Math. Mech. Solids · vol. 24 · n.º 6 · pp. 1692--1706

The Becker-Đöring process: pathwise convergence and phase transition phenomena

Erwan Hingant and Romain Yvinec

J. Stat. Phys. · vol. 177 · n.º 3 · pp. 506--527

The Stokes complex for virtual elements with application to Navier-Stokes flows

Lourenço Beirão da Veiga and David Mora and Guisseppe Vacca

J. Sci. Comput. · vol. 81 · n.º 2 · pp. 990--1018

Virtual elements for a shear-deflection formulation of Reissner-Mindlin plates

Lourenço Beirão da Veiga and David Mora and Gonzalo Rivera

Math. Comp. · vol. 88 · n.º 315 · pp. 149--178

Vorticity-pressure formulations for the Brinkman-Đarcy coupled problem

Verónica Anaya and David Mora and Carlos Reales and Ricardo Ruiz-Baier

Numer. Methods Partial Differential Equations · vol. 35 · n.º 2 · pp. 528--544

2018

$(ømega,c)$-periodic functions and mild solutions to abstract fractional integro-differential equations

Edgardo Alvarez and Adrián Gómez and Manuel Pinto

Electron. J. Qual. Theory Differ. Equ. · pp. Paper No. 16, 8

A priori and a posteriori error analysis of an augmented mixed-FEM for the Navier-Stokes-Brinkman problem

Luis Gatica and Ricardo Oyarzúa and Nestor Sánchez

Comput. Math. Appl. · vol. 75 · n.º 7 · pp. 2420--2444

A virtual element method for the transmission eigenvalue problem

David Mora and Iván Velásquez

Math. Models Methods Appl. Sci. · vol. 28 · n.º 14 · pp. 2803--2831

A virtual element method for the vibration problem of Kirchhoff plates

David Mora and Gonzalo Rivera and Iván Velásquez

ESAIM Math. Model. Numer. Anal. · vol. 52 · n.º 4 · pp. 1437--1456

Alternative angle-based approach to the $CalKS$-map. An interpretation through symmetry and reduction

Sebastián Ferrer and Francisco Crespo

J. Geom. Mech. · vol. 10 · n.º 3 · pp. 359--372

Analysis of an augmented fully-mixed formulation for the coupling of the Stokes and heat equations

Sergio Caucao and Gabriel Gatica and Ricardo Oyarzúa

ESAIM Math. Model. Numer. Anal. · vol. 52 · n.º 5 · pp. 1947--1980

Bifurcation of limit cycles for a family of perturbed Kukles differential systems

Salomón Rebollo-Perdomo and Claudio Vidal

Discrete Contin. Dyn. Syst. · vol. 38 · n.º 8 · pp. 4189--4202

Bounded and periodic solutions for abstract functional difference equations with summable dichotomies: applications to Volterra systems

Luis del Campo and Manuel Pinto and Claudio Vidal

Bull. Math. Soc. Sci. Math. Roumanie (N.S.) · vol. 61(109) · n.º 3 · pp. 279--292

Controlling the Kelvin force: basic strategies and applications to magnetic drug targeting

Harbir Antil and Ricardo Nochetto and Pablo Venegas

Optim. Eng. · vol. 19 · n.º 3 · pp. 559--589

Convergence of a lowest-order finite element method for the transmission eigenvalue problem

Jessika Camaño and Rodolfo Rodríguez and Pablo Venegas

Calcolo · vol. 55 · n.º 3 · pp. Paper No. 33, 14

Dynamics in the charged restricted circular three-body problem

Jesús Palacián and Claudio Vidal and Jhon Vidarte and Patricia Yanguas

J. Dynam. Differential Equations · vol. 30 · n.º 4 · pp. 1757--1774

Dynamics of axially symmetric perturbed Ħamiltonians in $1:1:1$ resonance

Dante Carrasco-Olivera and Jesús Palacián and Claudio Vidal and Jhon Vidarte and Patricia Yanguas

J. Nonlinear Sci. · vol. 28 · n.º 4 · pp. 1293--1359

Error analysis of an augmented mixed method for the Navier-Stokes problem with mixed boundary conditions

Jessika Camaño and Ricardo Oyarzúa and Ricardo Ruiz-Baier and Giordano Tierra

IMA J. Numer. Anal. · vol. 38 · n.º 3 · pp. 1452--1484

Exponential stability criteria for systems with multiple time delays

Rigoberto Medina and Carlos Martinez and Claudio Vidal

IMA J. Math. Control Inform. · vol. 35 · n.º suppl. · pp. i73--i88

Exponential stability to localized type III thermoelasticity

Jaime Muñoz Rivera and Ramon Quintanilla

J. Math. Anal. Appl. · vol. 467 · n.º 1 · pp. 379--397

Finite element approximation of the spectrum of the curl operator in a multiply connected domain

Ana Alonso-Rodríguez and Jessika Camaño and Rodolfo Rodríguez and Alberto Valli and Pablo Venegas

Found. Comput. Math. · vol. 18 · n.º 6 · pp. 1493--1533

High-order numerical schemes for one-dimensional nonlocal conservation laws

Christophe Chalons and Paola Goatin and Luis Miguel Villada

SIAM J. Sci. Comput. · vol. 40 · n.º 1 · pp. A288--A305

Instability of equilibrium solutions of Ħamiltonian systems with $n$-degrees of freedom under the existence of a single resonance and an invariant ray

Daniela Cárcamo and Claudio Vidal

J. Differential Equations · vol. 265 · n.º 12 · pp. 6295--6315

Linear type centers of polynomial Ħamiltonian systems with nonlinearities of degree 4 symmetric with respect to the $y$-axis

Jaume Llibre and Y. Paulina Martínez and Claudio Vidal

Discrete Contin. Dyn. Syst. Ser. B · vol. 23 · n.º 2 · pp. 887--912

Numerical analysis of a dual-mixed problem in non-standard Banach spaces

Jessika Camaño and Cristian Muñoz and Ricardo Oyarzúa

Electron. Trans. Numer. Anal. · vol. 48 · pp. 114--130

Numerical solution of a spatio-temporal gender-structured model for hantavirus infection in rodents

Raimund Bürger and Gerardo Chowell and Elvis Gavilán and Pep Mulet and Luis Miguel Villada

Math. Biosci. Eng. · vol. 15 · n.º 1 · pp. 95--123

On a vorticity-based formulation for reaction-diffusion-Brinkman systems

Verónica Anaya and Mostafa Bendahmane and David Mora and RIcardo Ruiz Baier

Netw. Heterog. Media · vol. 13 · n.º 1 · pp. 69--94

Optimizing the Kelvin force in a moving target subdomain

Harbir Antil and Ricardo Nochetto and Pablo Venegas

Math. Models Methods Appl. Sci. · vol. 28 · n.º 1 · pp. 95--130

Regularization of the circular restricted three body problem on surfaces of constant curvature

Jaime Andrade and Ernesto Pérez-Chavela and Claudio Vidal

J. Dynam. Differential Equations · vol. 30 · n.º 4 · pp. 1607--1626

Stability of an $N$-component Ŧimoshenko beam with localized Kelvin-Voigt and frictional dissipation

Tita Maryati and Jaime Muñoz Rivera and Amelie Rambaud and Octavio Vera

Electron. J. Differential Equations · pp. Paper No. 136, 18

Stability of equilibrium solutions of Ħamiltonian systems with $n$-degrees of freedom and single resonance in the critical case

Fabio dos Santos and Claudio Vidal

J. Differential Equations · vol. 264 · n.º 8 · pp. 5152--5179

Stability to localized viscoelastic transmission problem

Jaime Muñoz Rivera and Octavio Vera and Mauricio Sepúlveda

Comm. Partial Differential Equations · vol. 43 · n.º 5 · pp. 821--838

The hybrid-penalized method for the Ŧimoshenko’s beam

Jaime Muñoz Rivera and Carlos Costa da Baldez

J. Math. Anal. Appl. · vol. 458 · n.º 2 · pp. 1274--1291

The restricted three body problem on surfaces of constant curvature

Jaime Andrade and Ernesto Pérez-Chavela and Claudio Vidal

J. Differential Equations · vol. 265 · n.º 9 · pp. 4486--4529

The triaxiality role in the spin-orbit dynamics of a rigid body

Antonio Cantero and Francisco Crespo and Sebastián Ferrer

Appl. Math. Nonlinear Sci. · vol. 3 · n.º 1 · pp. 187--208

2017

A semilinear parabolic problem with variable reaction on a general domain

Ricardo Castillo and Miguel Loayza

Comput. Math. Appl. · vol. 74 · n.º 3 · pp. 351--359

Interior Sobolev regularity for fully nonlinear parabolic equations

Ricardo Castillo and Edgard Pimentel

Calc. Var. Partial Differential Equations · vol. 56 · n.º 5 · pp. Art. 127, 26

Parabolic perturbation in the family z -<1 + 1/wz^d

Juan Bobenrieth

Proyecciones · vol. 21 · n.º 1 · pp. 1-7

A conforming mixed finite element method for the Navier-Stokes/Đarcy coupled problem

Marco Discacciati and Ricardo Oyarzúa

Numer. Math. · vol. 135 · n.º 2 · pp. 571--606

A fully-mixed finite element method for the Navier-Stokes/Đarcy coupled problem with nonlinear viscosity

Sergio Caucao and Gabriel Gatica and Ricardo Oyarzúa and Ivana Sebestova

J. Numer. Math. · vol. 25 · n.º 2 · pp. 55--88

A posteriori error analysis of a fully-mixed formulation for the Navier-Stokes/Đarcy coupled problem with nonlinear viscosity

Sergio Caucao and Gabriel Gatica and Ricardo Oyarzúa

Comput. Methods Appl. Mech. Engrg. · vol. 315 · pp. 943--971

A posteriori error analysis of an augmented mixed-primal formulation for the stationary Boussinesq model

Eligio Colmenares and Gabriel Gatica and Ricardo Oyarzúa

Calcolo · vol. 54 · n.º 3 · pp. 1055--1095

A posteriori error estimates for a virtual element method for the Steklov eigenvalue problem

David Mora and Gonzalo Rivera and Rodolfo Rodríguez

Comput. Math. Appl. · vol. 74 · n.º 9 · pp. 2172--2190

A virtual element method for the acoustic vibration problem

Lourenço Beirão da Veiga and David Mora and Gonzalo Rivera and Rodolfo Rodríguez

Numer. Math. · vol. 136 · n.º 3 · pp. 725--763

An approximation to the minimum traveling wave for the delayed diffusive Nicholson’s blowflies equation

Adrián Gómez and Nolbert Morales

Math. Methods Appl. Sci. · vol. 40 · n.º 15 · pp. 5478--5483

An augmented fully-mixed finite element method for the stationary Boussinesq problem

Eligio Colmenares and Gabriel Gatica and Ricardo Oyarzúa

Calcolo · vol. 54 · n.º 1 · pp. 167--205

Analysis of a conforming finite element method for the Boussinesq problem with temperature-dependent parameters

Ricardo Oyarzúa and Paulo Zúñiga

J. Comput. Appl. Math. · vol. 323 · pp. 71--94

Analysis of an augmented mixed-FEM for the Navier-Stokes problem

Jessika Camaño and Ricardo Oyarzúa and Giordano Tierra

Math. Comp. · vol. 86 · n.º 304 · pp. 589--615

Asymptotic behavior for a generalized micropolar thermoelastic body

Marcio Ferreira and Jaime Muñoz Rivera and Amelie Rambaud and Octavio Vera

Appl. Math. Lett. · vol. 73 · pp. 37--43

Continuation and bifurcations of concave central configurations in the four and five body-problems for homogeneous force laws

Alan Almeida Santos and Marcelo Marchesin and Ernesto Pérez-Chavela and Claudio Vidal

J. Math. Anal. Appl. · vol. 446 · n.º 2 · pp. 1743--1768

Deterministic and stochastic Becker-Đöring equations: past and recent mathematical developments

Erwan Hingant and Romain Yvinec

pp. 175--204

Dynamics and regularization of the Kepler problem on surfaces of constant curvature

Jaime Andrade and Nestor Dávila and Ernesto Pérez-Chavela and Claudio Vidal

Canad. J. Math. · vol. 69 · n.º 5 · pp. 961--991

Electromagnetic computations with Preisach hysteresis model

Alfredo Bermúdez and Luc Dupré and Dolores Gómez and Pablo Venegas

Finite Elem. Anal. Des. · vol. 126 · pp. 65--74

Large time behavior for non-simple thermoelasticity with second sound

Jaime Muñoz Rivera and Juan Carlos Vega

Electron. J. Differential Equations · pp. Paper No. 259, 7

Large time behavior for non-simple thermoelasticity with second sound

Jaime Mũnoz Rivera and Juan Carlos Vega

Electron. J. Differential Equations · pp. Paper No. 259, 7

Mixed methods for a stream-function–vorticity formulation of the axisymmetric Brinkman equations

Verónica Anaya and David Mora and Carlos Reales and Ricardo Ruiz-Baier

J. Sci. Comput. · vol. 71 · n.º 1 · pp. 348--364

On the $C^1$ robust transitivity of the geometric Lorenz attractor

Juan Carmona and Dante Carrasco-Olivera and Bernardo San Martín

J. Differential Equations · vol. 262 · n.º 12 · pp. 5928--5938

On the $Cal K^*$-expansiveness of the Rovella attractor

Dante Carrasco-Olivera and Bernardo San Martín

Bull. Braz. Math. Soc. (N.S.) · vol. 48 · n.º 4 · pp. 649--662

Periodic solutions and KAM tori in a triaxial potential

Jesús Palacián and Claudio Vidal and Jhon Vidarte and Patricia Yanguas

SIAM J. Appl. Dyn. Syst. · vol. 16 · n.º 1 · pp. 159--187

Poincaré-Pontryagin-Melnikov functions for a type of perturbed degenerate Ħamiltonian equations

Salomón Rebollo-Perdomo

Qual. Theory Dyn. Syst. · vol. 16 · n.º 1 · pp. 149--174

Polynomial entropy and expansivity

Alfonso Artigue and Dante Carrasco-Olivera and Ignacio Monteverde

Acta Math. Hungar. · vol. 152 · n.º 1 · pp. 140--149

Pseudo-almost-periodic solutions for delayed differential equations with integral dichotomies and bi-almost-periodic Green functions

Manuel Pinto and Claudio Vidal

Math. Methods Appl. Sci. · vol. 40 · n.º 18 · pp. 6998--7012

Pure vorticity formulation and Galerkin discretization for the Brinkman equations

Verónica Anaya and David Mora and Ricardo Ruiz-Baier

IMA J. Numer. Anal. · vol. 37 · n.º 4 · pp. 2020--2041

Quasi steady state approximation of the small clusters in Becker-Đöring equations leads to boundary conditions in the Lifshitz-Slyozov limit

Julien Deschamps and Erwan Hingant and Romain Yvinec

Commun. Math. Sci. · vol. 15 · n.º 5 · pp. 1353--1384

Spatial collinear restricted four-body problem with repulsive Manev potential

Ester Barrabés and Josep M Cors and Claudio Vidal

Celestial Mech. Dynam. Astronom. · vol. 129 · n.º 1-2 · pp. 153--176

Stability of equilibrium points for a Ħamiltonian systems with one degree of freedom in one degenerate case

Rodrigo Gutierrez and Claudio Vidal

Regul. Chaotic Dyn. · vol. 22 · n.º 7 · pp. 880--892

Vibrations modeled by the standard linear model of viscoelasticity with boundary dissipation

Pedro Gamboa and Huy Hoang Nguyen and Octavio Vera and Verónica Poblete

Electron. J. Differential Equations · pp. Paper No. 163, 10

2016

A priori and a posteriori error analysis of a mixed scheme for the Brinkman problem

Verónica Anaya and David Mora and Ricardo Oyarzúa and Ricardo Ruiz-Baier

Numer. Math. · vol. 133 · n.º 4 · pp. 781--817

An augmented mixed finite element method for the Navier-Stokes equations with variable viscosity

Jessika Camaño and Gabriel Gatica and Ricardo Oyarzúa and Giordano Tierra

SIAM J. Numer. Anal. · vol. 54 · n.º 2 · pp. 1069--1092

Antidiffusive Lagrangian-remap schemes for models of polydisperse sedimentation

Raimund Bürger and Christophe Chalons and Luis Miguel Villada

Numer. Methods Partial Differential Equations · vol. 32 · n.º 4 · pp. 1109--1136

Classification of global phase portraits and bifurcation diagrams of Ħamiltonian systems with rational potential

Y. Paulina Martínez and Claudio Vidal

J. Differential Equations · vol. 261 · n.º 11 · pp. 5923--5948

Dynamics of restricted three and four vortices problem on the plane

Jaime Andrade and Stefanella Boatto and Claudio Vidal

J. Math. Phys. · vol. 57 · n.º 4 · pp. 042901, 23

Exact traveling waves solutions for long waves and blow-up phenomena

Xavier Carvajal and Pedro Gamboa and Octavio Vera

Differ. Equ. Appl. · vol. 8 · n.º 4 · pp. 557--573

Finite Element Analysis of a Bending Moment Formulation for the Vibration Problem of a Non-homogeneous Timoshenko Beam

Felipe Lepe and David Mora and Rodolfo Rodríguez

Journal of Scientific Computing · vol. 66 · n.º 2 · pp. 825-848

First kind symmetric periodic solutions of the generalized van der Waals Ħamiltonian

Angelo Alberti and Claudio Vidal

J. Math. Phys. · vol. 57 · n.º 7 · pp. 072902, 25

Fixed point strategies for mixed variational formulations of the stationary Boussinesq problem

Eligio Colmenares and Gabriel Gatica and Ricardo Oyarzúa

C. R. Math. Acad. Sci. Paris · vol. 354 · n.º 1 · pp. 57--62

Hopf periodic orbits for a ratio-dependent predator-prey model with stage structure

Jaume Llibre and Claudio Vidal

Discrete Contin. Dyn. Syst. Ser. B · vol. 21 · n.º 6 · pp. 1859--1867

it A priori and it a posteriori error analysis of a pseudostress-based mixed formulation of the Stokes problem with varying density

Sergio Caucao and David Mora and Ricardo Oyarzúa

IMA J. Numer. Anal. · vol. 36 · n.º 2 · pp. 947--983

Locking-free finite element methods for poroelasticity

Ricardo Oyarzúa and Ricardo Ruiz-Baier

SIAM J. Numer. Anal. · vol. 54 · n.º 5 · pp. 2951--2973

Modelling the spatial-temporal progression of the 2009 A/Ħ1N1 influenza pandemic in Chile

Raimund Bürger and Gerardo Chowell and Pep Mulet and Luis Miguel Villada

Math. Biosci. Eng. · vol. 13 · n.º 1 · pp. 43--65

Nonconforming mixed finite element approximation of a fluid-structure interaction spectral problem

Salim Meddahi and David Mora

Discrete Contin. Dyn. Syst. Ser. S · vol. 9 · n.º 1 · pp. 269--287

On a class of invariant algebraic curves for Kukles systems

Osvaldo Osuna and Salomón Rebollo-Perdomo and Gabriel Villaseñor

Electron. J. Qual. Theory Differ. Equ. · pp. Paper No. 61, 12

On second-order antidiffusive Lagrangian-remap schemes for multispecies kinematic flow models

Raimund Bürger and Christophe Chalons and Luis Miguel Villada

Bull. Braz. Math. Soc. (N.S.) · vol. 47 · n.º 1 · pp. 187--200

Partial reachability of a thermoelastic plate with memory

Pedro Gamboa and Vilmos Komornik and Octavio Vera

Quart. Appl. Math. · vol. 74 · n.º 2 · pp. 235--243

Periodic solutions of symmetric Kepler perturbations and applications

Angelo Alberti and Claudio Vidal

J. Nonlinear Math. Phys. · vol. 23 · n.º 3 · pp. 439--465

Poisson and integrable systems through the Nambu bracket and its Jacobi multiplier

Francisco Crespo and Francisco Javier Molero and Sebastián Ferrer

J. Geom. Mech. · vol. 8 · n.º 2 · pp. 169--178

Poisson and symplectic reductions of 4-DOF isotropic oscillators. Ŧhe van der Waals system as benchmark

Francisco Crespo and Gema Díaz-Toca and Sebastián Ferrer and Martín Lara

Appl. Math. Nonlinear Sci. · vol. 1 · n.º 2 · pp. 473--492

Stability and stabilizability for slowly time-varying systems

Rogiberto Medina and Claudio Vidal

IMA J. Math. Control Inform. · vol. 33 · n.º 3 · pp. 757--771

Stability of the equilibrium solutions in a charged restricted circular three-body problem

Claudio Vidal and Jhon Vidarte

J. Differential Equations · vol. 260 · n.º 6 · pp. 5128--5173

2015

A convergent finite volume method for a model of indirectly transmitted diseases with nonlocal cross-diffusion

Verónica Anaya and Mostafa Bendahmane and Michel Langlais and Mauricio Sepúlveda

Comput. Math. Appl. · vol. 70 · n.º 2 · pp. 132--157

A finite element analysis of a pseudostress formulation for the Stokes eigenvalue problem

Salim Meddahi and David Mora and Rodolfo Rodríguez

IMA J. Numer. Anal. · vol. 35 · n.º 2 · pp. 749--766

A finite element method for the buckling problem of simply supported Kirchhoff plates

Felipe Millar and David Mora

J. Comput. Appl. Math. · vol. 286 · pp. 68--78

A global regularization for the $(N+1)$-body problem with the primaries in a regular $N$-gon central configuration

Martha Álvarez-Ramírez and Claudio Vidal

Qual. Theory Dyn. Syst. · vol. 14 · n.º 2 · pp. 175--187

A note on measure-expansive diffeomorphisms

Alfonso Artigue and Dante Carrasco-Olivera

J. Math. Anal. Appl. · vol. 428 · n.º 1 · pp. 713--716

A virtual element method for elastic and inelastic problems on polytope meshes

Lourenço Beirão da Veiga and Carlo Lovadina and David Mora

Comput. Methods Appl. Mech. Engrg. · vol. 295 · pp. 327--346

A virtual element method for the Steklov eigenvalue problem

David Mora and Gonzalo Rivera and Rodolfo Rodríguez

Math. Models Methods Appl. Sci. · vol. 25 · n.º 8 · pp. 1421--1445

About analyticity for the coupled system of linear thermoviscoelastic equations

Margareth Alves and Jaime Muñoz Rivera and Mauricio Sepúlveda and Octavio Vera

Appl. Math. Comput. · vol. 270 · pp. 943--952

An augmented velocity-vorticity-pressure formulation for the Brinkman equations

Verónica Anaya and Gabriel Gatica and David Mora and Ricardo Ruiz-Baier

Internat. J. Numer. Methods Fluids · vol. 79 · n.º 3 · pp. 109--137

Existence and stability of almost periodic solutions to differential equations with piecewise constant arguments

Samuel Castillo and Manuel Pinto

Electron. J. Differential Equations · pp. No. 58, 15

Expansivity in 2-metric spaces

Dante Carrasco-Olivera and Roger Metzger and Carlos Morales

Indian J. Math. · vol. 57 · n.º 3 · pp. 377--401

New families of symmetric periodic solutions of the spatial anisotropic Manev problem

Angelo Alberti and Claudio Vidal

J. Math. Phys. · vol. 56 · n.º 1 · pp. 012901, 18

New fully-mixed finite element methods for the Stokes-Đarcy coupling

Jessika Camaño and Gabriel Gatica and Ricardo Oyarzúa and Ricardo Ruiz-Baier and Pablo Venegas

Comput. Methods Appl. Mech. Engrg. · vol. 295 · pp. 362--395

Numerical analysis for a three interacting species model with nonlocal and cross diffusion

Verónica Anaya and Mostafa Bendahmane and Mauricio Sepúlveda

ESAIM Math. Model. Numer. Anal. · vol. 49 · n.º 1 · pp. 171--192

Pattern formation for a reaction diffusion system with constant and cross diffusion

Verónica Anaya and Mostafa Bendahmane and Michel Langlais and Mauricio Sepúlveda

vol. 103 · pp. 153--161

Periodic solutions of a periodic FitzĦugh-Nagumo system

Jaume Llibre and Claudio Vidal

Internat. J. Bifur. Chaos Appl. Sci. Engrg. · vol. 25 · n.º 13 · pp. 1550180, 6

Stability and global dynamic of a stage-structured predator-prey model with group defense mechanism of the prey

Manuel Falconi and Marcelo Huenchucona and Claudio Vidal

Appl. Math. Comput. · vol. 270 · pp. 47--61

Stability of equilibrium solutions in planar Ħamiltonian difference systems

Cristian Carcamo and Claudio Vidal

Canad. J. Math. · vol. 67 · n.º 6 · pp. 1270--1289

Stability of equilibrium solutions of autonomous and periodic Ħamiltonian systems in the case of multiple resonances

Fabio dos Santos and Claudio Vidal

J. Differential Equations · vol. 258 · n.º 11 · pp. 3880--3901

Stability of the vibrations of an inhomogeneous flexible structure with thermal effect

Siddhartha Misra and Margareth Alves and Ganesh Gorain C and Octavio Vera

Int. J. Dyn. Control · vol. 3 · n.º 4 · pp. 354--362

Stabilized mixed approximation of axisymmetric Brinkman flows

Verónica Anaya and David Mora and Carlos Reales and Ricardo Ruiz-Baier

ESAIM Math. Model. Numer. Anal. · vol. 49 · n.º 3 · pp. 855--874

Topological entropy for set-valued maps

Dante Carrasco-Olivera and Roger Metzger and Carlos Morales

Discrete Contin. Dyn. Syst. Ser. B · vol. 20 · n.º 10 · pp. 3461--3474

Zero-Ħopf bifurcation in the FitzĦugh-Nagumo system

Rodrigo Euzébio and Jaume Llibre and Claudio Vidal

Math. Methods Appl. Sci. · vol. 38 · n.º 17 · pp. 4289--4299

2014

A stream virtual element formulation of the Stokes problem on polygonal meshes

Paola Antonietti and Lourenço Beirão da Veiga and David Mora and Marco Verani

SIAM J. Numer. Anal. · vol. 52 · n.º 1 · pp. 386--404

An exactly divergence-free finite element method for a generalized Boussinesq problem

Ricardo Oyarzúa and Tong Qin and Dominik Schötzau

IMA J. Numer. Anal. · vol. 34 · n.º 3 · pp. 1104--1135

Discontinuous almost automorphic functions and almost automorphic solutions of differential equations with piecewise constant arguments

Alan Chávez and Samuel Castillo and Manuel Pinto

Electron. J. Differential Equations · pp. No. 56, 13

Discontinuous almost periodic type functions, almost automorphy of solutions of differential equations with discontinuous delay and applications

Alan Chávez and Samuel Castillo and Manuel Pinto

Electron. J. Qual. Theory Differ. Equ. · pp. No. 75, 17

Dynamics of mechanical systems with polynomial potentials

Manuel Falconi and Ernesto Lacomba and Claudio Vidal

J. Dynam. Differential Equations · vol. 26 · n.º 3 · pp. 707--722

Expansive measures for flows

Dante Carrasco-Olivera and Carlos Morales

J. Differential Equations · vol. 256 · n.º 7 · pp. 2246--2260

Finite element analysis for a pressure-stress formulation of a fluid-structure interaction spectral problem

Salim Meddahi and David Mora and Rodolfo Rodríguez

Comput. Math. Appl. · vol. 68 · n.º 12, part A · pp. 1733--1750

Gain of regularity for a Benney-Lin equation type

Margareth Alves and Jaime Muñoz Rivera and Mauricio Sepúlveda and Octavio Vera

Q. J. Math. · vol. 65 · n.º 2 · pp. 459--483

Global continuation of monotone wavefronts

Adrián Gómez and Sergei Trofimchuk

J. Lond. Math. Soc. (2) · vol. 89 · n.º 1 · pp. 47--68

Global dynamics of the Kummer-Schwarz differential equation

Jaume Llibre and Claudio Vidal

Mediterr. J. Math. · vol. 11 · n.º 2 · pp. 477--486

Global regularization of a restricted four-body problem

Martha Alvarez-Ramírez and Joaquín Delgado and Claudio Vidal

Internat. J. Bifur. Chaos Appl. Sci. Engrg. · vol. 24 · n.º 7 · pp. 1450092, 15

Locking-free finite element method for a bending moment formulation of Ŧimoshenko beams

Felipe Lepe and David Mora and Rodolfo Rodríguez

Comput. Math. Appl. · vol. 68 · n.º 3 · pp. 118--131

New 1:1:1 periodic solutions in 3-dimensional galactic-type Ħamiltonian systems

Jaume Llibre and Claudio Vidal

Nonlinear Dynam. · vol. 78 · n.º 2 · pp. 969--980

Periodic orbits associated to Ħamiltonian functions of degree four

Dante Carrasco-Olivera and Marco Uribe and Claudio Vidal

J. Nonlinear Math. Phys. · vol. 21 · n.º 3 · pp. 336--356

Robust attractors without dominated splitting on manifolds with boundary

Dante Carrasco-Olivera and Bernardo San Martín

Discrete Contin. Dyn. Syst. · vol. 34 · n.º 11 · pp. 4555--4563

The asymptotic behavior of the linear transmission problem in viscoelasticity

Margareth Alves and Jaime Muñoz Rivera and Mauricio Sepúlveda and Octavio Vera and María Zegarra-Garay

Math. Nachr. · vol. 287 · n.º 5-6 · pp. 483--497

The lack of exponential stability in certain transmission problems with localized Kelvin-Voigt dissipation

Margareth Alves and Jaime Muñoz Rivera and Mauricio Sepúlveda and Octavio Vera

SIAM J. Appl. Math. · vol. 74 · n.º 2 · pp. 345--365

2013

An augmented mixed finite element method for the vorticity-velocity-pressure formulation of the Stokes equations

Verónica Anaya and David Mora and Ricardo Ruiz-Baier

Comput. Methods Appl. Mech. Engrg. · vol. 267 · pp. 261--274

Asymptotic behaviour for a nonlinear Schrödinger equation in domains with moving boundaries

Vanilde Bisognin and Celene Buriol and Marcio Ferreira and Mauricio Sepúlveda and Octavio Vera

Acta Appl. Math. · vol. 125 · pp. 159--172

Asymptotic behaviour for the vibrations modeled by the standard linear solid model with a thermal effect

Margareth Alves and Celene Buriol and Marcio Ferreira and Jaime Muñoz Rivera and Mauricio Sepúlveda and Octavio Vera

J. Math. Anal. Appl. · vol. 399 · n.º 2 · pp. 472--479

Behavior of the binary collision in a planar restricted $(N+1)$-body problem

Martha Álvarez-Ramírez and Claudio Vidal

Phys. D · vol. 254 · pp. 1--11

Dichotomy and almost automorphic solution of difference system

Samuel Castillo and Manuel Pinto

Electron. J. Qual. Theory Differ. Equ. · pp. No. 32, 17

Finite element spectral analysis for the mixed formulation of the elasticity equations

Salim Meddahi and David Mora and Rodolfo Rodríguez

SIAM J. Numer. Anal. · vol. 51 · n.º 2 · pp. 1041--1063

it A priori error analysis of a fully-mixed finite element method for a two-dimensional fluid-solid interaction problem

Carolina Domínguez and Gabriel Gatica and Salim Meddahi and Ricardo Oyarzúa

ESAIM Math. Model. Numer. Anal. · vol. 47 · n.º 2 · pp. 471--506

Numerical results for mimetic discretization of Reissner-Mindlin plate problems

Lourenço Beirão da Veiga and Carlo Lovadina and David Mora

Calcolo · vol. 50 · n.º 3 · pp. 209--237

On co-circular central configurations in the four and five body-problems for homogeneous force law

Martha Álvarez-Ramírez and Alan Almeida Santos and Claudio Vidal

J. Dynam. Differential Equations · vol. 25 · n.º 2 · pp. 269--290

Periodic solutions, stability and non-integrability in a generalized Ħénon-Ħeiles Ħamiltonian system

Dante Carrasco-Olivera and Claudio Vidal

J. Nonlinear Math. Phys. · vol. 20 · n.º 2 · pp. 199--213

Quasiperiodic collision solutions in the spatial isosceles three-body problem with rotating axis of symmetry

Eder Mateus and Andrea Venturelli and Claudio Vidal

Arch. Ration. Mech. Anal. · vol. 210 · n.º 1 · pp. 165--176

Spatial restricted rhomboidal five-body problem and horizontal stability of its periodic solutions

Marcelo Marchesin and Claudio Vidal

Celestial Mech. Dynam. Astronom. · vol. 115 · n.º 3 · pp. 261--279

Stability in a rhomboidal 5-body problem with generalized central forces

Marcelo Marchesin and Claudio Vidal

J. Math. Phys. · vol. 54 · n.º 10 · pp. 102902, 30

Stability of equilibrium solutions in the critical case of even-order resonance in periodic Ħamiltonian systems with one degree of freedom

José Mansilla and Claudio Vidal

Celestial Mech. Dynam. Astronom. · vol. 116 · n.º 3 · pp. 265--277

Stabilization in three-dimensional porous thermoviscoelastic mixtures

Margareth Alves and Jaime Muñoz Rivera and Mauricio Sepúlveda and Octavio Vera

Q. J. Math. · vol. 64 · n.º 1 · pp. 37--57

2012

Geometric interpretation for the spectral stability in the charged three-body problem

José Mansilla and Claudio Vidal

Celestial Mech. Dynam. Astronom. · vol. 113 · n.º 2 · pp. 205--213

Periodic orbits and non-integrability in a cosmological scalar field

Jaume Llibre and Claudio Vidal

J. Math. Phys. · vol. 53 · n.º 1 · pp. 012702, 14

The Chetaev theorem for ordinary difference equations

Cristian Carcamo and Claudio Vidal

Proyecciones · vol. 31 · n.º 4 · pp. 391--402

2011

The empirical relevance of the competitive storage model.

Cafiero Carlo and Eugenio Bobenrieth and Juan Bobenrieth and Brian Wright

J. Econometrics · vol. 162 · n.º 1 · pp. 44-54

Smoothing properties for a Ħirota-Satsuma systems

Salvattore Jimenez and Octavio Vera

Electron. J. Qual. Theory Differ. Equ. · pp. No. 61, 30

2010

Asymptotic behavior of functional dynamic equations in time scale

Samuel Castillo and Manuel Pinto

Dynam. Systems Appl. · vol. 19 · n.º 1 · pp. 165--177

2008

A foundation for the solution of consumption-saving behavior with a borrowing constraint and unbounded marginal utility

Eugenio Bobenrieth and Juan Bobenrieth and Brian Wright

Journal of Economic Dynamics and Control · vol. 32 · n.º 36 · pp. 695-708

2007

Asymptotics for second order delayed differential equations

Samuel Castillo and Manuel Pinto

Proyecciones · vol. 26 · n.º 1 · pp. 91--103

2004

Asymptotic formulae for dynamic equations on time scales with a functional perturbation

Samuel Castillo and Manuel Pinto

pp. 253--266

Asymptotics of scalar functional differential equations

Samuel Castillo and Manuel Pinto

Funct. Differ. Equ. · vol. 11 · n.º 1-2 · pp. 29--36

2003

Asymptotic formula for dynamic equations in time scale with a functional perturbation

Samuel Castillo

Funct. Differ. Equ. · vol. 10 · n.º 1-2 · pp. 107--120

2002

A commodity price process with a unique continuous invariant distribution having infinite mean.

Eugenio Bobenrieth and Juan Bobenrieth and Brian Wright

Econometrica · vol. 70 · n.º 36 · pp. 1213–1219

An asymptotic theory for nonlinear functional differential equations

Samuel Castillo and Manuel Pinto

Comput. Math. Appl. · vol. 44 · n.º 5-6 · pp. 763--775

Improvements in asymptotic formulae results for functional difference equations

Samuel Castillo and Manuel Pinto

pp. 57--67

2001

Hyperbolicity is dense in the real family z↦1+1/wz^d (w∈ℝ), where d is odd.

Juan Bobenrieth

Sci. Ser. A Math. Sci. (N.S.) · vol. 70 · n.º 1 · pp. 7-11

$L^p$ perturbations in delay differential equations

Samuel Castillo and Manuel Pinto

Electron. J. Differential Equations · pp. No. 55, 11

Asymptotic formulae for nonlinear functional difference equations

Samuel Castillo and Manuel Pinto

Comput. Math. Appl. · vol. 42 · n.º 3-5 · pp. 551--559

Levinson theorem for functional differential systems

Samuel Castillo and Manuel Pinto

Nonlinear Anal. · vol. 47 · n.º 6 · pp. 3963--3975

1999

Asymptotic formulae for solutions of linear functional-differential systems

Samuel Castillo

Funct. Differ. Equ. · vol. 6 · n.º 1-2 · pp. 55--68

Asymptotic theory for bi-dimensional linear impulsive differential systems, nonelliptic case

Samuel Castillo and Manuel Pinto

Nonlinear Anal. · vol. 35 · n.º 4, Ser. A: Theory Methods · pp. 425--447

1998

Asymptotic integration of ordinary different systems

Samuel Castillo and Manuel Pinto

J. Math. Anal. Appl. · vol. 218 · n.º 1 · pp. 1--12

Asymptotic summation for second-order finite difference systems

Samuel Castillo and Manuel Pinto

Comput. Math. Appl. · vol. 35 · n.º 4 · pp. 117--129

1997

Asymptotic formulae for solutions of delay-difference systems

Samuel Castillo and Manuel Pinto

pp. 107--117

1995

Asymptotic formulae of solutions of second order difference equations

Samuel Castillo and Manuel Pinto

pp. 95--104