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 @article{Anacleto2022,
title = {Crossing limit cycles for discontinuous piecewise linear differential centers separated by three parallel straight lines},
author = {Maria Elisa Anacleto and Jaume Llibre and Claudia Valls and Claudio Vidal },
doi = {10.1007/s12215-022-00766-3},
year = {2022},
date = {2022-06-16},
journal = {Rendiconti del Circolo Matematico di Palermo 2},
keywords = {dynamical systems, GISDA},
pubstate = {forthcoming},
tppubtype = {article}
}
|
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 @article{Fernandes2022,
title = {Planar central configurations of six bodies},
author = {Antonio Fernandes and Luis Mello and Lucas Ruiz and Claudio Vidal},
doi = {10.1063/5.0057231},
isbn = {222488},
year = {2022},
date = {2022-06-01},
journal = {Journal of Mathematical Physics},
volume = {63},
number = {6},
pages = {62701},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
|
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 @article{Llibre2022,
title = {Algebraic and topological classification of homogeneous quartic vector fields in the plane},
author = {Jaume Llibre and Y. Paulina Martínez and Claudio Vidal },
doi = {10.1007/s10231-021-01106-5},
issn = {037331124},
year = {2022},
date = {2022-02-28},
journal = {Annali di Matematica Pura ed Applicata},
volume = {201},
number = {1},
pages = {37-55},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
|
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 @article{Pérez-Rothen2022,
title = {On the Parametric Stability of the Isosceles Triangular Libration Points in the Planar Elliptical Charged Restricted Three-body Problem},
author = {Yocelyn Pérez-Rothen and Lucas Valeriano and Claudio Vidal},
doi = {10.1134/S1560354722010099},
issn = {15603547},
year = {2022},
date = {2022-01-31},
journal = {Regular and Chaotic Dynamics},
volume = {27},
number = {1},
pages = {98-121},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
|
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 @article{Cárcamo2021b,
title = {Nonlinear stability of elliptic equilibria in Hamiltonian systems with exponential time estimates.},
author = {Daniela Cárcamo and Jesús Palacián and Patricia Yanguas and Claudio Vidal},
doi = {10.3934/dcds.2021073},
year = {2021},
date = {2021-11-30},
journal = {DCDS},
volume = {41},
number = {11},
pages = {5183-5208},
keywords = {dynamical systems, Elliptic equilibria, exponential time estimates., formal stability, GISDA, Lie stability, resonances},
pubstate = {published},
tppubtype = {article}
}
|
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 @article{Guardia2021,
title = {Symbolic dynamics in the restricted elliptic isosceles three body problem.},
author = {Marcel Guardia and Jaime Paradela and Tere Seara and Claudio Vidal },
doi = {10.1016/j.jde.2021.05.017},
year = {2021},
date = {2021-09-05},
journal = {Journal of Differential Equations},
volume = {294},
pages = {143-177},
keywords = {Celestial mechanics, Chaotic dynamics, dynamical systems, Exponentially small phenomena, GISDA, Oscillatory motions},
pubstate = {published},
tppubtype = {article}
}
|
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 @article{Anacleto2021,
title = {Limit cycles of discontinuous piecewise differential systems formed by linear centers in R2 and separated by two circles},
author = {María Anacleto and Jaume Llibre and Claudia Valls and Claudio Vidal },
doi = {10.1016/j.nonrwa.2020.103281},
year = {2021},
date = {2021-08-31},
journal = {Nonlinear Analysis Real World Applications},
volume = {60},
number = {103281,},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
|
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 @article{Torres-Espino2021,
title = {Periodic solutions of a tumor- immune system interaction under a periodic immunotherapy.},
author = {Gladys Torres-Espino and Claudio Vidal },
doi = {10.3934/dcdsb.2020301},
year = {2021},
date = {2021-08-31},
journal = {Discrete & Continuous Dynamical Systems - B},
volume = {26},
number = {8},
pages = {4523-4547},
keywords = {averaging theory, dynamical systems, GISDA, immunotherapy, periodic solutions, stability., Tumor-immune system},
pubstate = {published},
tppubtype = {article}
}
|
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 @article{Cárcamo2021,
title = {Nonlinear stability in the spatial attitude motion of a satellite in a circular orbit.},
author = {Daniela Cárcamo and Jesus Palacián And Patricia Yanguas and Claudio Vidal},
doi = {10.1137/20M136760X},
year = {2021},
date = {2021-08-20},
journal = {SIAM Journal on Applied Dynamical Systems},
volume = {20},
number = {3},
pages = {1421–1463},
keywords = {attitude, dynamical systems, exponential estimates, formal and Lie stability, GISDA, resonances, spatial satellite},
pubstate = {published},
tppubtype = {article}
}
|
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 @article{Fernandes2021,
title = {Stacked central configurations in the 5-vortex problem.},
author = {Antonio Fernandes and Claudio Vidal },
doi = {10.1007/s00332-021-09741-1},
year = {2021},
date = {2021-08-15},
journal = {Journal of Nonlinear Science volume},
volume = {31},
number = {83},
keywords = {5-Vortex problem, dynamical systems, GISDA, Planar central configuration, Relative equilibria},
pubstate = {published},
tppubtype = {article}
}
|
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 @article{Andrade2021b,
title = {Stability of the relative equilibria in the two-body problem on the sphere.},
author = {Jaime Andrade and Claudio Sierpe and Claudio Vidal},
doi = {10.1134/S1560354721040067},
year = {2021},
date = {2021-08-09},
journal = {Regular and Chaotic Dynamics volume},
volume = {24},
number = {6},
pages = {402-438},
keywords = {dynamical systems, GISDA, Hamiltonian formulation, nonlinear stability, normal form, resonance, two-body-problem on the sphere},
pubstate = {published},
tppubtype = {article}
}
|
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 @article{Barrabés2021,
title = {Convexity and symmetry of central configurations in the five-body problem: Lagrange plus two.},
author = {Ester Barrabés and Josep M Cors and Antonio Fernandes and Claudio Vidal },
doi = {10.1007/s12346-021-00504-7},
year = {2021},
date = {2021-07-10},
journal = {Qualitative Theory of Dynamical Systems},
volume = {20},
number = {63},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
|
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 @article{Alberti2021,
title = {First kind symmetric periodic solutions and their stability for the Kepler problem and anisotropic Kepler problem plus generalized anisotropic perturbation.},
author = {Angelo Alberti and Claudio Vidal },
doi = {10.1016/j.nonrwa.2020.103238},
year = {2021},
date = {2021-04-30},
journal = {Nonlinear Analysis: Real World Applications},
volume = {58},
number = {103238},
keywords = {Delaunay–Poincaré variables, dynamical systems, GISDA, Perturbation theory, Poincaré’s continuation method, Symmetric periodic solutions and linear stability, Symmetries},
pubstate = {published},
tppubtype = {article}
}
|
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 @article{Martínez2021,
title = {Algebraic and Topological Classification of Homogeneous Quartic Vector Fields in the Plane},
author = {Y. Paulina Martínez and Jaume Llibre and Claudio Vidal },
doi = {10.1007/s10231-021-01106-5},
isbn = {0373-3114},
year = {2021},
date = {2021-04-11},
journal = {Annali di Matematica Pura ed Applicata},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
|
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 @article{Ascencio2021,
title = {Symmetric periodic solutions for the spatial Maxwell restricted N+1-problem with Manev potential.},
author = {Mauricio Ascencio and Claudio Vidal },
doi = {10.1007/s12346-021-00462-0},
year = {2021},
date = {2021-03-20},
journal = {Qual. Theory Dyn. Syst.},
volume = {20},
number = {2},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
|
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 @article{Fernandes2020,
title = {4-vortex trapezoidal central configurations},
author = {Antonio Fernandes and Claudio Vidal },
doi = {10.1007/s00574-020-00208-7},
year = {2020},
date = {2020-04-14},
journal = {Bulletin of the Brazilian Mathematical Society, New Series},
volume = {52},
pages = {361–389},
keywords = {4-Vortex problem, Convex central configurations, dynamical systems, GISDA, Parallel sides, Trapezoidal central configurations},
pubstate = {published},
tppubtype = {article}
}
|
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 @article{MR4101616,
title = {Dynamics of a delayed predator-prey model with Allee effect
and Ħolling type II functional response},
author = {María Anacleto and Claudio Vidal},
url = {https://ezproxy.ubiobio.cl:2191/10.1002/mma.6307},
doi = {10.1002/mma.6307},
issn = {0170-4214},
year = {2020},
date = {2020-01-01},
journal = {Math. Methods Appl. Sci.},
volume = {43},
number = {9},
pages = {5708--5728},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
|
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 @article{MR4094702b,
title = {Dynamics and bifurcation of passive tracers advected by a ring
of point vortices on a sphere},
author = {Jaime Andrade and Stefanella Boatto and Claudio Vidal},
url = {https://ezproxy.ubiobio.cl:2191/10.1063/1.5128007},
doi = {10.1063/1.5128007},
issn = {0022-2488},
year = {2020},
date = {2020-01-01},
journal = {J. Math. Phys.},
volume = {61},
number = {5},
pages = {052702, 26},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
|
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 @article{MR4056880b,
title = {Normalization and existence of invariant ray solutions of a
2-DOF autonomous Ħamiltonian system with null frequencies},
author = {Francisco Crespo and Claudio Vidal and Dilver Espejo},
url = {https://ezproxy.ubiobio.cl:2191/10.1007/s12346-020-00354-9},
doi = {10.1007/s12346-020-00354-9},
issn = {1575-5460},
year = {2020},
date = {2020-01-01},
journal = {Qual. Theory Dyn. Syst.},
volume = {19},
number = {1},
pages = {Paper No. 18, 32},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
|
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 @article{MR4039776,
title = {On the uniqueness of the isoceles trapezoidal central
configuration in the 4-body problem for power-law potentials},
author = {Antonio Fernandes and Luis Fernando Mello and Claudio Vidal},
url = {https://ezproxy.ubiobio.cl:2191/10.1088/1361-6544/ab4d5f},
doi = {10.1088/1361-6544/ab4d5f},
issn = {0951-7715},
year = {2020},
date = {2020-01-01},
journal = {Nonlinearity},
volume = {33},
number = {1},
pages = {388--407},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
|
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 @article{MR3988074,
title = {Predator interference in a Leslie-Gower intraguild
predation model},
author = {Manuel Falconi and Yrina Vera-Damián and Claudio Vidal},
url = {https://ezproxy.ubiobio.cl:2191/10.1016/j.nonrwa.2019.102974},
doi = {10.1016/j.nonrwa.2019.102974},
issn = {1468-1218},
year = {2020},
date = {2020-01-01},
journal = {Nonlinear Anal. Real World Appl.},
volume = {51},
pages = {102974, 37},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
|
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 @article{MR4055506d,
title = {MĢehee blow-up of the Kepler problem on surfaces of constant curvature},
author = {Jaime Andrade and Francisco Crespo and Y. Paulina Martínez and Claudio Vidal},
url = {https://ezproxy.ubiobio.cl:2191/10.1007/s12346-020-00349-6},
doi = {10.1007/s12346-020-00349-6},
issn = {1575-5460},
year = {2020},
date = {2020-01-01},
journal = {Qual. Theory Dyn. Syst.},
volume = {19},
number = {1},
pages = {Paper No. 13, 19},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
|
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 @article{MR4148118b,
title = {Limit cycles of a perturbation of a polynomial Ħamiltonian systems of degree 4 symmetric with respect to the origin},
author = {Jaume Llibre and Y. Paulina Martínez and Claudio Vidal},
url = {https://ezproxy.ubiobio.cl:2191/10.4153/s0008439519000626},
doi = {10.4153/s0008439519000626},
issn = {0008-4395},
year = {2020},
date = {2020-01-01},
journal = {Canad. Math. Bull.},
volume = {63},
number = {3},
pages = {547--561},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
|
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 @article{MR3992214,
title = {Periodic solutions, KAM tori and bifurcations in a
cosmology-inspired potential},
author = {Jesús Palacián and Claudio Vidal and Jhon Vidarte and Patricia Yanguas},
url = {https://ezproxy.ubiobio.cl:2191/10.1088/1361-6544/ab1bc6},
doi = {10.1088/1361-6544/ab1bc6},
issn = {0951-7715},
year = {2019},
date = {2019-01-01},
journal = {Nonlinearity},
volume = {32},
number = {9},
pages = {3406--3444},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
|
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 @article{MR3982745b,
title = {Dynamics and periodic solutions in cubic polynomial
Ħamiltonian systems},
author = {Dante Carrasco-Olivera and Claudio Vidal},
url = {https://ezproxy.ubiobio.cl:2191/10.1007/s12346-018-0291-2},
doi = {10.1007/s12346-018-0291-2},
issn = {1575-5460},
year = {2019},
date = {2019-01-01},
journal = {Qual. Theory Dyn. Syst.},
volume = {18},
number = {2},
pages = {383--403},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
|
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 @article{MR3951827,
title = {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},
author = {Daniela Cárcamo and Claudio Vidal},
url = {https://ezproxy.ubiobio.cl:2191/10.1007/s10884-018-9679-6},
doi = {10.1007/s10884-018-9679-6},
issn = {1040-7294},
year = {2019},
date = {2019-01-01},
journal = {J. Dynam. Differential Equations},
volume = {31},
number = {2},
pages = {853--882},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
|
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 @article{MR3949559,
title = {Dynamics and bifurcations of a modified Leslie-Gower-type
model considering a Beddington-ĐeAngelis functional
response},
author = {Yrina Vera-Damián and Claudio Vidal and Eduardo González-Olivares},
url = {https://ezproxy.ubiobio.cl:2191/10.1002/mma.5577},
doi = {10.1002/mma.5577},
issn = {0170-4214},
year = {2019},
date = {2019-01-01},
journal = {Math. Methods Appl. Sci.},
volume = {42},
number = {9},
pages = {3179--3210},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
|
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 @article{MR3916048,
title = {Periodic motion in non-axially symmetric galaxies},
author = {Jaume Llibre and Claudio Vidal},
url = {https://ezproxy.ubiobio.cl:2191/10.1016/j.geomphys.2018.09.023},
doi = {10.1016/j.geomphys.2018.09.023},
issn = {0393-0440},
year = {2019},
date = {2019-01-01},
journal = {J. Geom. Phys.},
volume = {140},
pages = {1--9},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
|
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 @article{MR3900792,
title = {Dynamics of the parabolic restricted collinear three-body
problem},
author = {Joaquín Delgado and Claudio Vidal},
url = {https://ezproxy.ubiobio.cl:2191/10.1137/17M1138947},
doi = {10.1137/17M1138947},
year = {2019},
date = {2019-01-01},
journal = {SIAM J. Appl. Dyn. Syst.},
volume = {18},
number = {1},
pages = {172--204},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
|
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 @article{MR3918166b,
title = {Phase portraits of linear type centers of polynomial Ħamiltonian systems with Ħamiltonian function of degree 5 of the form $H=H_1(x)+H_2(y)$},
author = {Jaume Llibre and Y. Paulina Martínez and Claudio Vidal},
url = {https://ezproxy.ubiobio.cl:2191/10.3934/dcds.2019004},
doi = {10.3934/dcds.2019004},
issn = {1078-0947},
year = {2019},
date = {2019-01-01},
journal = {Discrete Contin. Dyn. Syst.},
volume = {39},
number = {1},
pages = {75--113},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
|
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 @article{MR3871621,
title = {Dynamics in the charged restricted circular three-body
problem},
author = {Jesús Palacián and Claudio Vidal and Jhon Vidarte and Patricia Yanguas},
url = {https://ezproxy.ubiobio.cl:2191/10.1007/s10884-017-9627-x},
doi = {10.1007/s10884-017-9627-x},
issn = {1040-7294},
year = {2018},
date = {2018-01-01},
journal = {J. Dynam. Differential Equations},
volume = {30},
number = {4},
pages = {1757--1774},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
|
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 @article{MR3871615b,
title = {Regularization of the circular restricted three body problem
on surfaces of constant curvature},
author = {Jaime Andrade and Ernesto Pérez-Chavela and Claudio Vidal},
url = {https://ezproxy.ubiobio.cl:2191/10.1007/s10884-017-9619-x},
doi = {10.1007/s10884-017-9619-x},
issn = {1040-7294},
year = {2018},
date = {2018-01-01},
journal = {J. Dynam. Differential Equations},
volume = {30},
number = {4},
pages = {1607--1626},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
|
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 @article{MR3865112,
title = {Instability of equilibrium solutions of Ħamiltonian systems
with $n$-degrees of freedom under the existence of a single
resonance and an invariant ray},
author = {Daniela Cárcamo and Claudio Vidal},
url = {https://ezproxy.ubiobio.cl:2191/10.1016/j.jde.2018.07.022},
doi = {10.1016/j.jde.2018.07.022},
issn = {0022-0396},
year = {2018},
date = {2018-01-01},
journal = {J. Differential Equations},
volume = {265},
number = {12},
pages = {6295--6315},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
|
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 @article{MR3843307b,
title = {The restricted three body problem on surfaces of constant
curvature},
author = {Jaime Andrade and Ernesto Pérez-Chavela and Claudio Vidal},
url = {https://ezproxy.ubiobio.cl:2191/10.1016/j.jde.2018.06.007},
doi = {10.1016/j.jde.2018.06.007},
issn = {0022-0396},
year = {2018},
date = {2018-01-01},
journal = {J. Differential Equations},
volume = {265},
number = {9},
pages = {4486--4529},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
|
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 @article{MR3838941,
title = {Bounded and periodic solutions for abstract functional
difference equations with summable dichotomies: applications
to Volterra systems},
author = {Luis del Campo and Manuel Pinto and Claudio Vidal},
issn = {1220-3874},
year = {2018},
date = {2018-01-01},
journal = {Bull. Math. Soc. Sci. Math. Roumanie (N.S.)},
volume = {61(109)},
number = {3},
pages = {279--292},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
|
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 @article{MR3817783b,
title = {Dynamics of axially symmetric perturbed Ħamiltonians in
$1:1:1$ resonance},
author = {Dante Carrasco-Olivera and Jesús Palacián and Claudio Vidal and Jhon Vidarte and Patricia Yanguas},
url = {https://ezproxy.ubiobio.cl:2191/10.1007/s00332-018-9449-y},
doi = {10.1007/s00332-018-9449-y},
issn = {0938-8974},
year = {2018},
date = {2018-01-01},
journal = {J. Nonlinear Sci.},
volume = {28},
number = {4},
pages = {1293--1359},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
|
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 @article{MR3814370b,
title = {Bifurcation of limit cycles for a family of perturbed Kukles
differential systems},
author = {Salomón Rebollo-Perdomo and Claudio Vidal},
url = {https://ezproxy.ubiobio.cl:2191/10.3934/dcds.2018182},
doi = {10.3934/dcds.2018182},
issn = {1078-0947},
year = {2018},
date = {2018-01-01},
journal = {Discrete Contin. Dyn. Syst.},
volume = {38},
number = {8},
pages = {4189--4202},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
|
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 @article{MR3800012,
title = {Exponential stability criteria for systems with multiple time
delays},
author = {Rigoberto Medina and Carlos Martinez and Claudio Vidal},
url = {https://ezproxy.ubiobio.cl:2191/10.1093/imamci/dnx021},
doi = {10.1093/imamci/dnx021},
issn = {0265-0754},
year = {2018},
date = {2018-01-01},
journal = {IMA J. Math. Control Inform.},
volume = {35},
number = {suppl.},
pages = {i73--i88},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
|
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 @article{MR3760170,
title = {Stability of equilibrium solutions of Ħamiltonian systems
with $n$-degrees of freedom and single resonance in the
critical case},
author = {Fabio dos Santos and Claudio Vidal},
url = {https://ezproxy.ubiobio.cl:2191/10.1016/j.jde.2017.12.033},
doi = {10.1016/j.jde.2017.12.033},
issn = {0022-0396},
year = {2018},
date = {2018-01-01},
journal = {J. Differential Equations},
volume = {264},
number = {8},
pages = {5152--5179},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
|
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 @article{MR3810100b,
title = {Linear type centers of polynomial Ħamiltonian systems with nonlinearities of degree 4 symmetric with respect to the $y$-axis},
author = {Jaume Llibre and Y. Paulina Martínez and Claudio Vidal},
url = {https://ezproxy.ubiobio.cl:2191/10.3934/dcdsb.2018047},
doi = {10.3934/dcdsb.2018047},
issn = {1531-3492},
year = {2018},
date = {2018-01-01},
journal = {Discrete Contin. Dyn. Syst. Ser. B},
volume = {23},
number = {2},
pages = {887--912},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
|
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 @article{MR3767906,
title = {Stability of equilibrium points for a Ħamiltonian systems
with one degree of freedom in one degenerate case},
author = {Rodrigo Gutierrez and Claudio Vidal},
url = {https://ezproxy.ubiobio.cl:2191/10.1134/S1560354717070097},
doi = {10.1134/S1560354717070097},
issn = {1560-3547},
year = {2017},
date = {2017-01-01},
journal = {Regul. Chaotic Dyn.},
volume = {22},
number = {7},
pages = {880--892},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
|
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 @article{MR3742110,
title = {Pseudo-almost-periodic solutions for delayed differential
equations with integral dichotomies and bi-almost-periodic
Green functions},
author = {Manuel Pinto and Claudio Vidal},
url = {https://ezproxy.ubiobio.cl:2191/10.1002/mma.4507},
doi = {10.1002/mma.4507},
issn = {0170-4214},
year = {2017},
date = {2017-01-01},
journal = {Math. Methods Appl. Sci.},
volume = {40},
number = {18},
pages = {6998--7012},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
|
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 @article{MR3693145b,
title = {Dynamics and regularization of the Kepler problem on
surfaces of constant curvature},
author = {Jaime Andrade and Nestor Dávila and Ernesto Pérez-Chavela and Claudio Vidal},
url = {https://ezproxy.ubiobio.cl:2191/10.4153/CJM-2016-014-5},
doi = {10.4153/CJM-2016-014-5},
issn = {0008-414X},
year = {2017},
date = {2017-01-01},
journal = {Canad. J. Math.},
volume = {69},
number = {5},
pages = {961--991},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
|
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 @article{MR3689177,
title = {Spatial collinear restricted four-body problem with repulsive
Manev potential},
author = {Ester Barrabés and Josep M Cors and Claudio Vidal},
url = {https://ezproxy.ubiobio.cl:2191/10.1007/s10569-017-9771-y},
doi = {10.1007/s10569-017-9771-y},
issn = {0923-2958},
year = {2017},
date = {2017-01-01},
journal = {Celestial Mech. Dynam. Astronom.},
volume = {129},
number = {1-2},
pages = {153--176},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
|
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 @article{MR3598784,
title = {Periodic solutions and KAM tori in a triaxial potential},
author = {Jesús Palacián and Claudio Vidal and Jhon Vidarte and Patricia Yanguas},
url = {https://ezproxy.ubiobio.cl:2191/10.1137/16M1082925},
doi = {10.1137/16M1082925},
year = {2017},
date = {2017-01-01},
journal = {SIAM J. Appl. Dyn. Syst.},
volume = {16},
number = {1},
pages = {159--187},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
|
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 @article{MR3563057,
title = {Continuation and bifurcations of concave central
configurations in the four and five body-problems for
homogeneous force laws},
author = {Alan Almeida Santos and Marcelo Marchesin and Ernesto Pérez-Chavela and Claudio Vidal},
url = {https://ezproxy.ubiobio.cl:2191/10.1016/j.jmaa.2016.09.055},
doi = {10.1016/j.jmaa.2016.09.055},
issn = {0022-247X},
year = {2017},
date = {2017-01-01},
journal = {J. Math. Anal. Appl.},
volume = {446},
number = {2},
pages = {1743--1768},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
|
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 @article{MR3551810,
title = {Stability and stabilizability for slowly time-varying systems},
author = {Rogiberto Medina and Claudio Vidal},
url = {https://ezproxy.ubiobio.cl:2191/10.1093/imamci/dnv006},
doi = {10.1093/imamci/dnv006},
issn = {0265-0754},
year = {2016},
date = {2016-01-01},
journal = {IMA J. Math. Control Inform.},
volume = {33},
number = {3},
pages = {757--771},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
|
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 @article{MR3543612,
title = {Hopf periodic orbits for a ratio-dependent predator-prey model
with stage structure},
author = {Jaume Llibre and Claudio Vidal},
url = {https://ezproxy.ubiobio.cl:2191/10.3934/dcdsb.2016026},
doi = {10.3934/dcdsb.2016026},
issn = {1531-3492},
year = {2016},
date = {2016-01-01},
journal = {Discrete Contin. Dyn. Syst. Ser. B},
volume = {21},
number = {6},
pages = {1859--1867},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
|
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 @article{MR3519413,
title = {First kind symmetric periodic solutions of the generalized van
der Waals Ħamiltonian},
author = {Angelo Alberti and Claudio Vidal},
url = {https://ezproxy.ubiobio.cl:2191/10.1063/1.4954802},
doi = {10.1063/1.4954802},
issn = {0022-2488},
year = {2016},
date = {2016-01-01},
journal = {J. Math. Phys.},
volume = {57},
number = {7},
pages = {072902, 25},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
|
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 @article{MR3516955,
title = {Periodic solutions of symmetric Kepler perturbations and
applications},
author = {Angelo Alberti and Claudio Vidal},
url = {https://ezproxy.ubiobio.cl:2191/10.1080/14029251.2016.1204721},
doi = {10.1080/14029251.2016.1204721},
issn = {1402-9251},
year = {2016},
date = {2016-01-01},
journal = {J. Nonlinear Math. Phys.},
volume = {23},
number = {3},
pages = {439--465},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
|
