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2022

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

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

Rendiconti del Circolo Matematico di Palermo 2, Forthcoming.

Links | Etiquetas: dynamical systems, GISDA

Antonio Fernandes; Luis Mello; Lucas Ruiz; Claudio Vidal

Planar central configurations of six bodies Journal Article

Journal of Mathematical Physics, 63 (6), pp. 62701, 2022, ISBN: 222488.

Links | Etiquetas: dynamical systems, GISDA

Jaume Llibre; Y. Paulina Martínez; Claudio Vidal

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

Annali di Matematica Pura ed Applicata, 201 (1), pp. 37-55, 2022, ISSN: 037331124.

Links | Etiquetas: dynamical systems, GISDA

Yocelyn Pérez-Rothen; Lucas Valeriano; Claudio Vidal

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

Regular and Chaotic Dynamics, 27 (1), pp. 98-121, 2022, ISSN: 15603547.

Links | Etiquetas: dynamical systems, GISDA

2021

Daniela Cárcamo; Jesús Palacián; Patricia Yanguas; Claudio Vidal

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

DCDS, 41 (11), pp. 5183-5208, 2021.

Links | Etiquetas: dynamical systems, Elliptic equilibria, exponential time estimates., formal stability, GISDA, Lie stability, resonances

Marcel Guardia; Jaime Paradela; Tere Seara; Claudio Vidal

Symbolic dynamics in the restricted elliptic isosceles three body problem. Journal Article

Journal of Differential Equations, 294 , pp. 143-177, 2021.

Links | Etiquetas: Celestial mechanics, Chaotic dynamics, dynamical systems, Exponentially small phenomena, GISDA, Oscillatory motions

María Anacleto; Jaume Llibre; Claudia Valls; Claudio Vidal

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

Nonlinear Analysis Real World Applications, 60 (103281,), 2021.

Links | Etiquetas: dynamical systems, GISDA

Gladys Torres-Espino; Claudio Vidal

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

Discrete & Continuous Dynamical Systems - B, 26 (8), pp. 4523-4547, 2021.

Links | Etiquetas: averaging theory, dynamical systems, GISDA, immunotherapy, periodic solutions, stability., Tumor-immune system

Daniela Cárcamo; Jesus Palacián And Patricia Yanguas; Claudio Vidal

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

SIAM Journal on Applied Dynamical Systems, 20 (3), pp. 1421–1463, 2021.

Links | Etiquetas: attitude, dynamical systems, exponential estimates, formal and Lie stability, GISDA, resonances, spatial satellite

Antonio Fernandes; Claudio Vidal

Stacked central configurations in the 5-vortex problem. Journal Article

Journal of Nonlinear Science volume, 31 (83), 2021.

Links | Etiquetas: 5-Vortex problem, dynamical systems, GISDA, Planar central configuration, Relative equilibria

Jaime Andrade; Claudio Sierpe; Claudio Vidal

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

Regular and Chaotic Dynamics volume, 24 (6), pp. 402-438, 2021.

Links | Etiquetas: dynamical systems, GISDA, Hamiltonian formulation, nonlinear stability, normal form, resonance, two-body-problem on the sphere

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

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

Qualitative Theory of Dynamical Systems, 20 (63), 2021.

Links | Etiquetas: dynamical systems, GISDA

Angelo Alberti; Claudio Vidal

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

Nonlinear Analysis: Real World Applications, 58 (103238), 2021.

Links | Etiquetas: Delaunay–Poincaré variables, dynamical systems, GISDA, Perturbation theory, Poincaré’s continuation method, Symmetric periodic solutions and linear stability, Symmetries

Y. Paulina Martínez; Jaume Llibre; Claudio Vidal

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

Annali di Matematica Pura ed Applicata, 2021, ISBN: 0373-3114.

Links | Etiquetas: dynamical systems, GISDA

Mauricio Ascencio; Claudio Vidal

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

Qual. Theory Dyn. Syst., 20 (2), 2021.

Links | Etiquetas: dynamical systems, GISDA

2020

Antonio Fernandes; Claudio Vidal

4-vortex trapezoidal central configurations Journal Article

Bulletin of the Brazilian Mathematical Society, New Series, 52 , pp. 361–389, 2020.

Links | Etiquetas: 4-Vortex problem, Convex central configurations, dynamical systems, GISDA, Parallel sides, Trapezoidal central configurations

María Anacleto; Claudio Vidal

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

Math. Methods Appl. Sci., 43 (9), pp. 5708–5728, 2020, ISSN: 0170-4214.

Links | Etiquetas: dynamical systems, GISDA

Jaime Andrade; Stefanella Boatto; Claudio Vidal

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

J. Math. Phys., 61 (5), pp. 052702, 26, 2020, ISSN: 0022-2488.

Links | Etiquetas: dynamical systems, GISDA

Francisco Crespo; Claudio Vidal; Dilver Espejo

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

Qual. Theory Dyn. Syst., 19 (1), pp. Paper No. 18, 32, 2020, ISSN: 1575-5460.

Links | Etiquetas: dynamical systems, GISDA

Antonio Fernandes; Luis Fernando Mello; Claudio Vidal

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

Nonlinearity, 33 (1), pp. 388–407, 2020, ISSN: 0951-7715.

Links | Etiquetas: dynamical systems, GISDA

Manuel Falconi; Yrina Vera-Damián; Claudio Vidal

Predator interference in a Leslie-Gower intraguild predation model Journal Article

Nonlinear Anal. Real World Appl., 51 , pp. 102974, 37, 2020, ISSN: 1468-1218.

Links | Etiquetas: dynamical systems, GISDA

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

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

Qual. Theory Dyn. Syst., 19 (1), pp. Paper No. 13, 19, 2020, ISSN: 1575-5460.

Links | Etiquetas: dynamical systems, GISDA

Jaume Llibre; Y. Paulina Martínez; Claudio Vidal

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

Canad. Math. Bull., 63 (3), pp. 547–561, 2020, ISSN: 0008-4395.

Links | Etiquetas: dynamical systems, GISDA

2019

Jesús Palacián; Claudio Vidal; Jhon Vidarte; Patricia Yanguas

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

Nonlinearity, 32 (9), pp. 3406–3444, 2019, ISSN: 0951-7715.

Links | Etiquetas: dynamical systems, GISDA

Dante Carrasco-Olivera; Claudio Vidal

Dynamics and periodic solutions in cubic polynomial Ħamiltonian systems Journal Article

Qual. Theory Dyn. Syst., 18 (2), pp. 383–403, 2019, ISSN: 1575-5460.

Links | Etiquetas: dynamical systems, GISDA

Daniela Cárcamo; Claudio Vidal

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 Journal Article

J. Dynam. Differential Equations, 31 (2), pp. 853–882, 2019, ISSN: 1040-7294.

Links | Etiquetas: dynamical systems, GISDA

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

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

Math. Methods Appl. Sci., 42 (9), pp. 3179–3210, 2019, ISSN: 0170-4214.

Links | Etiquetas: dynamical systems, GISDA

Jaume Llibre; Claudio Vidal

Periodic motion in non-axially symmetric galaxies Journal Article

J. Geom. Phys., 140 , pp. 1–9, 2019, ISSN: 0393-0440.

Links | Etiquetas: dynamical systems, GISDA

Joaquín Delgado; Claudio Vidal

Dynamics of the parabolic restricted collinear three-body problem Journal Article

SIAM J. Appl. Dyn. Syst., 18 (1), pp. 172–204, 2019.

Links | Etiquetas: dynamical systems, GISDA

Jaume Llibre; Y. Paulina Martínez; Claudio Vidal

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

Discrete Contin. Dyn. Syst., 39 (1), pp. 75–113, 2019, ISSN: 1078-0947.

Links | Etiquetas: dynamical systems, GISDA

2018

Jesús Palacián; Claudio Vidal; Jhon Vidarte; Patricia Yanguas

Dynamics in the charged restricted circular three-body problem Journal Article

J. Dynam. Differential Equations, 30 (4), pp. 1757–1774, 2018, ISSN: 1040-7294.

Links | Etiquetas: dynamical systems, GISDA

Jaime Andrade; Ernesto Pérez-Chavela; Claudio Vidal

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

J. Dynam. Differential Equations, 30 (4), pp. 1607–1626, 2018, ISSN: 1040-7294.

Links | Etiquetas: dynamical systems, GISDA

Daniela Cárcamo; Claudio Vidal

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

J. Differential Equations, 265 (12), pp. 6295–6315, 2018, ISSN: 0022-0396.

Links | Etiquetas: dynamical systems, GISDA

Jaime Andrade; Ernesto Pérez-Chavela; Claudio Vidal

The restricted three body problem on surfaces of constant curvature Journal Article

J. Differential Equations, 265 (9), pp. 4486–4529, 2018, ISSN: 0022-0396.

Links | Etiquetas: dynamical systems, GISDA

Luis del Campo; Manuel Pinto; Claudio Vidal

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

Bull. Math. Soc. Sci. Math. Roumanie (N.S.), 61(109) (3), pp. 279–292, 2018, ISSN: 1220-3874.

Etiquetas: dynamical systems, GISDA

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

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

J. Nonlinear Sci., 28 (4), pp. 1293–1359, 2018, ISSN: 0938-8974.

Links | Etiquetas: dynamical systems, GISDA

Salomón Rebollo-Perdomo; Claudio Vidal

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

Discrete Contin. Dyn. Syst., 38 (8), pp. 4189–4202, 2018, ISSN: 1078-0947.

Links | Etiquetas: dynamical systems, GISDA

Rigoberto Medina; Carlos Martinez; Claudio Vidal

Exponential stability criteria for systems with multiple time delays Journal Article

IMA J. Math. Control Inform., 35 (suppl.), pp. i73–i88, 2018, ISSN: 0265-0754.

Links | Etiquetas: dynamical systems, GISDA

Fabio dos Santos; Claudio Vidal

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

J. Differential Equations, 264 (8), pp. 5152–5179, 2018, ISSN: 0022-0396.

Links | Etiquetas: dynamical systems, GISDA

Jaume Llibre; Y. Paulina Martínez; Claudio Vidal

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

Discrete Contin. Dyn. Syst. Ser. B, 23 (2), pp. 887–912, 2018, ISSN: 1531-3492.

Links | Etiquetas: dynamical systems, GISDA

2017

Rodrigo Gutierrez; Claudio Vidal

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

Regul. Chaotic Dyn., 22 (7), pp. 880–892, 2017, ISSN: 1560-3547.

Links | Etiquetas: dynamical systems, GISDA

Manuel Pinto; Claudio Vidal

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

Math. Methods Appl. Sci., 40 (18), pp. 6998–7012, 2017, ISSN: 0170-4214.

Links | Etiquetas: dynamical systems, GISDA

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

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

Canad. J. Math., 69 (5), pp. 961–991, 2017, ISSN: 0008-414X.

Links | Etiquetas: dynamical systems, GISDA

Ester Barrabés; Josep M Cors; Claudio Vidal

Spatial collinear restricted four-body problem with repulsive Manev potential Journal Article

Celestial Mech. Dynam. Astronom., 129 (1-2), pp. 153–176, 2017, ISSN: 0923-2958.

Links | Etiquetas: dynamical systems, GISDA

Jesús Palacián; Claudio Vidal; Jhon Vidarte; Patricia Yanguas

Periodic solutions and KAM tori in a triaxial potential Journal Article

SIAM J. Appl. Dyn. Syst., 16 (1), pp. 159–187, 2017.

Links | Etiquetas: dynamical systems, GISDA

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

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

J. Math. Anal. Appl., 446 (2), pp. 1743–1768, 2017, ISSN: 0022-247X.

Links | Etiquetas: dynamical systems, GISDA

2016

Rogiberto Medina; Claudio Vidal

Stability and stabilizability for slowly time-varying systems Journal Article

IMA J. Math. Control Inform., 33 (3), pp. 757–771, 2016, ISSN: 0265-0754.

Links | Etiquetas: dynamical systems, GISDA

Jaume Llibre; Claudio Vidal

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

Discrete Contin. Dyn. Syst. Ser. B, 21 (6), pp. 1859–1867, 2016, ISSN: 1531-3492.

Links | Etiquetas: dynamical systems, GISDA

Angelo Alberti; Claudio Vidal

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

J. Math. Phys., 57 (7), pp. 072902, 25, 2016, ISSN: 0022-2488.

Links | Etiquetas: dynamical systems, GISDA

Angelo Alberti; Claudio Vidal

Periodic solutions of symmetric Kepler perturbations and applications Journal Article

J. Nonlinear Math. Phys., 23 (3), pp. 439–465, 2016, ISSN: 1402-9251.

Links | Etiquetas: dynamical systems, GISDA

75 entries « 1 of 2 »