2016
|
Jaime Andrade; Stefanella Boatto; Claudio Vidal Dynamics of restricted three and four vortices problem on the
plane Journal Article J. Math. Phys., 57 (4), pp. 042901, 23, 2016, ISSN: 0022-2488. Links | Etiquetas: dynamical systems, GISDA @article{MR3480336b,
title = {Dynamics of restricted three and four vortices problem on the
plane},
author = {Jaime Andrade and Stefanella Boatto and Claudio Vidal},
url = {https://ezproxy.ubiobio.cl:2191/10.1063/1.4943901},
doi = {10.1063/1.4943901},
issn = {0022-2488},
year = {2016},
date = {2016-01-01},
journal = {J. Math. Phys.},
volume = {57},
number = {4},
pages = {042901, 23},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
|
Claudio Vidal; Jhon Vidarte Stability of the equilibrium solutions in a charged restricted
circular three-body problem Journal Article J. Differential Equations, 260 (6), pp. 5128–5173, 2016, ISSN: 0022-0396. Links | Etiquetas: dynamical systems, GISDA @article{MR3448776,
title = {Stability of the equilibrium solutions in a charged restricted
circular three-body problem},
author = {Claudio Vidal and Jhon Vidarte},
url = {https://ezproxy.ubiobio.cl:2191/10.1016/j.jde.2015.12.002},
doi = {10.1016/j.jde.2015.12.002},
issn = {0022-0396},
year = {2016},
date = {2016-01-01},
journal = {J. Differential Equations},
volume = {260},
number = {6},
pages = {5128--5173},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
|
Y. Paulina Martínez; Claudio Vidal Classification of global phase portraits and bifurcation diagrams of Ħamiltonian systems with rational potential Journal Article J. Differential Equations, 261 (11), pp. 5923–5948, 2016, ISSN: 0022-0396. Links | Etiquetas: dynamical systems, GISDA @article{MR3552554b,
title = {Classification of global phase portraits and bifurcation diagrams of Ħamiltonian systems with rational potential},
author = {Y. Paulina Martínez and Claudio Vidal},
url = {https://ezproxy.ubiobio.cl:2191/10.1016/j.jde.2016.08.024},
doi = {10.1016/j.jde.2016.08.024},
issn = {0022-0396},
year = {2016},
date = {2016-01-01},
journal = {J. Differential Equations},
volume = {261},
number = {11},
pages = {5923--5948},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
|
2015
|
Jaume Llibre; Claudio Vidal Periodic solutions of a periodic FitzĦugh-Nagumo system Journal Article Internat. J. Bifur. Chaos Appl. Sci. Engrg., 25 (13), pp. 1550180, 6, 2015, ISSN: 0218-1274. Links | Etiquetas: dynamical systems, GISDA @article{MR3439501,
title = {Periodic solutions of a periodic FitzĦugh-Nagumo system},
author = {Jaume Llibre and Claudio Vidal},
url = {https://ezproxy.ubiobio.cl:2191/10.1142/S0218127415501801},
doi = {10.1142/S0218127415501801},
issn = {0218-1274},
year = {2015},
date = {2015-01-01},
journal = {Internat. J. Bifur. Chaos Appl. Sci. Engrg.},
volume = {25},
number = {13},
pages = {1550180, 6},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
|
Rodrigo Euzébio; Jaume Llibre; Claudio Vidal Zero-Ħopf bifurcation in the FitzĦugh-Nagumo system Journal Article Math. Methods Appl. Sci., 38 (17), pp. 4289–4299, 2015, ISSN: 0170-4214. Links | Etiquetas: dynamical systems, GISDA @article{MR3434359,
title = {Zero-Ħopf bifurcation in the FitzĦugh-Nagumo system},
author = {Rodrigo Euzébio and Jaume Llibre and Claudio Vidal},
url = {https://ezproxy.ubiobio.cl:2191/10.1002/mma.3365},
doi = {10.1002/mma.3365},
issn = {0170-4214},
year = {2015},
date = {2015-01-01},
journal = {Math. Methods Appl. Sci.},
volume = {38},
number = {17},
pages = {4289--4299},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
|
Martha Álvarez-Ramírez; Claudio Vidal A global regularization for the $(N+1)$-body problem with
the primaries in a regular $N$-gon central configuration Journal Article Qual. Theory Dyn. Syst., 14 (2), pp. 175–187, 2015, ISSN: 1575-5460. Links | Etiquetas: dynamical systems, GISDA @article{MR3428751,
title = {A global regularization for the $(N+1)$-body problem with
the primaries in a regular $N$-gon central configuration},
author = {Martha Álvarez-Ramírez and Claudio Vidal},
url = {https://ezproxy.ubiobio.cl:2191/10.1007/s12346-015-0149-9},
doi = {10.1007/s12346-015-0149-9},
issn = {1575-5460},
year = {2015},
date = {2015-01-01},
journal = {Qual. Theory Dyn. Syst.},
volume = {14},
number = {2},
pages = {175--187},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
|
Cristian Carcamo; Claudio Vidal Stability of equilibrium solutions in planar Ħamiltonian
difference systems Journal Article Canad. J. Math., 67 (6), pp. 1270–1289, 2015, ISSN: 0008-414X. Links | Etiquetas: dynamical systems, GISDA @article{MR3415653,
title = {Stability of equilibrium solutions in planar Ħamiltonian
difference systems},
author = {Cristian Carcamo and Claudio Vidal},
url = {https://ezproxy.ubiobio.cl:2191/10.4153/CJM-2014-040-3},
doi = {10.4153/CJM-2014-040-3},
issn = {0008-414X},
year = {2015},
date = {2015-01-01},
journal = {Canad. J. Math.},
volume = {67},
number = {6},
pages = {1270--1289},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
|
Manuel Falconi; Marcelo Huenchucona; Claudio Vidal Stability and global dynamic of a stage-structured
predator-prey model with group defense mechanism of the prey Journal Article Appl. Math. Comput., 270 , pp. 47–61, 2015, ISSN: 0096-3003. Links | Etiquetas: dynamical systems, GISDA @article{MR3406870,
title = {Stability and global dynamic of a stage-structured
predator-prey model with group defense mechanism of the prey},
author = {Manuel Falconi and Marcelo Huenchucona and Claudio Vidal},
url = {https://ezproxy.ubiobio.cl:2191/10.1016/j.amc.2015.07.109},
doi = {10.1016/j.amc.2015.07.109},
issn = {0096-3003},
year = {2015},
date = {2015-01-01},
journal = {Appl. Math. Comput.},
volume = {270},
pages = {47--61},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
|
Angelo Alberti; Claudio Vidal New families of symmetric periodic solutions of the spatial
anisotropic Manev problem Journal Article J. Math. Phys., 56 (1), pp. 012901, 18, 2015, ISSN: 0022-2488. Links | Etiquetas: dynamical systems, GISDA @article{MR3390834,
title = {New families of symmetric periodic solutions of the spatial
anisotropic Manev problem},
author = {Angelo Alberti and Claudio Vidal},
url = {https://ezproxy.ubiobio.cl:2191/10.1063/1.4904016},
doi = {10.1063/1.4904016},
issn = {0022-2488},
year = {2015},
date = {2015-01-01},
journal = {J. Math. Phys.},
volume = {56},
number = {1},
pages = {012901, 18},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
|
Fabio dos Santos; Claudio Vidal Stability of equilibrium solutions of autonomous and periodic
Ħamiltonian systems in the case of multiple resonances Journal Article J. Differential Equations, 258 (11), pp. 3880–3901, 2015, ISSN: 0022-0396. Links | Etiquetas: dynamical systems, GISDA @article{MR3322986,
title = {Stability of equilibrium solutions of autonomous and periodic
Ħamiltonian systems in the case of multiple resonances},
author = {Fabio dos Santos and Claudio Vidal},
url = {https://ezproxy.ubiobio.cl:2191/10.1016/j.jde.2015.01.044},
doi = {10.1016/j.jde.2015.01.044},
issn = {0022-0396},
year = {2015},
date = {2015-01-01},
journal = {J. Differential Equations},
volume = {258},
number = {11},
pages = {3880--3901},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
|
2014
|
Jaume Llibre; Claudio Vidal Global dynamics of the Kummer-Schwarz differential
equation Journal Article Mediterr. J. Math., 11 (2), pp. 477–486, 2014, ISSN: 1660-5446. Links | Etiquetas: dynamical systems, GISDA @article{MR3198620,
title = {Global dynamics of the Kummer-Schwarz differential
equation},
author = {Jaume Llibre and Claudio Vidal},
url = {https://ezproxy.ubiobio.cl:2191/10.1007/s00009-013-0299-4},
doi = {10.1007/s00009-013-0299-4},
issn = {1660-5446},
year = {2014},
date = {2014-01-01},
journal = {Mediterr. J. Math.},
volume = {11},
number = {2},
pages = {477--486},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
|
Dante Carrasco-Olivera; Marco Uribe; Claudio Vidal Periodic orbits associated to Ħamiltonian functions of
degree four Journal Article J. Nonlinear Math. Phys., 21 (3), pp. 336–356, 2014, ISSN: 1402-9251. Links | Etiquetas: dynamical systems, GISDA @article{MR3224639b,
title = {Periodic orbits associated to Ħamiltonian functions of
degree four},
author = {Dante Carrasco-Olivera and Marco Uribe and Claudio Vidal},
url = {https://ezproxy.ubiobio.cl:2191/10.1080/14029251.2014.936756},
doi = {10.1080/14029251.2014.936756},
issn = {1402-9251},
year = {2014},
date = {2014-01-01},
journal = {J. Nonlinear Math. Phys.},
volume = {21},
number = {3},
pages = {336--356},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
|
Manuel Falconi; Ernesto Lacomba; Claudio Vidal Dynamics of mechanical systems with polynomial potentials Journal Article J. Dynam. Differential Equations, 26 (3), pp. 707–722, 2014, ISSN: 1040-7294. Links | Etiquetas: dynamical systems, GISDA @article{MR3274438,
title = {Dynamics of mechanical systems with polynomial potentials},
author = {Manuel Falconi and Ernesto Lacomba and Claudio Vidal},
url = {https://ezproxy.ubiobio.cl:2191/10.1007/s10884-014-9357-2},
doi = {10.1007/s10884-014-9357-2},
issn = {1040-7294},
year = {2014},
date = {2014-01-01},
journal = {J. Dynam. Differential Equations},
volume = {26},
number = {3},
pages = {707--722},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
|
Jaume Llibre; Claudio Vidal New 1:1:1 periodic solutions in 3-dimensional galactic-type
Ħamiltonian systems Journal Article Nonlinear Dynam., 78 (2), pp. 969–980, 2014, ISSN: 0924-090X. Links | Etiquetas: dynamical systems, GISDA @article{MR3267682,
title = {New 1:1:1 periodic solutions in 3-dimensional galactic-type
Ħamiltonian systems},
author = {Jaume Llibre and Claudio Vidal},
url = {https://ezproxy.ubiobio.cl:2191/10.1007/s11071-014-1490-2},
doi = {10.1007/s11071-014-1490-2},
issn = {0924-090X},
year = {2014},
date = {2014-01-01},
journal = {Nonlinear Dynam.},
volume = {78},
number = {2},
pages = {969--980},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
|
Martha Alvarez-Ramírez; Joaquín Delgado; Claudio Vidal Global regularization of a restricted four-body problem Journal Article Internat. J. Bifur. Chaos Appl. Sci. Engrg., 24 (7), pp. 1450092, 15, 2014, ISSN: 0218-1274. Links | Etiquetas: dynamical systems, GISDA @article{MR3239345,
title = {Global regularization of a restricted four-body problem},
author = {Martha Alvarez-Ramírez and Joaquín Delgado and Claudio Vidal},
url = {https://ezproxy.ubiobio.cl:2191/10.1142/S0218127414500928},
doi = {10.1142/S0218127414500928},
issn = {0218-1274},
year = {2014},
date = {2014-01-01},
journal = {Internat. J. Bifur. Chaos Appl. Sci. Engrg.},
volume = {24},
number = {7},
pages = {1450092, 15},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
|
2013
|
Marcelo Marchesin; Claudio Vidal Stability in a rhomboidal 5-body problem with generalized
central forces Journal Article J. Math. Phys., 54 (10), pp. 102902, 30, 2013, ISSN: 0022-2488. Links | Etiquetas: dynamical systems, GISDA @article{MR3134597,
title = {Stability in a rhomboidal 5-body problem with generalized
central forces},
author = {Marcelo Marchesin and Claudio Vidal},
url = {https://ezproxy.ubiobio.cl:2191/10.1063/1.4824462},
doi = {10.1063/1.4824462},
issn = {0022-2488},
year = {2013},
date = {2013-01-01},
journal = {J. Math. Phys.},
volume = {54},
number = {10},
pages = {102902, 30},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
|
Eder Mateus; Andrea Venturelli; Claudio Vidal Quasiperiodic collision solutions in the spatial isosceles
three-body problem with rotating axis of symmetry Journal Article Arch. Ration. Mech. Anal., 210 (1), pp. 165–176, 2013, ISSN: 0003-9527. Links | Etiquetas: dynamical systems, GISDA @article{MR3073151,
title = {Quasiperiodic collision solutions in the spatial isosceles
three-body problem with rotating axis of symmetry},
author = {Eder Mateus and Andrea Venturelli and Claudio Vidal},
url = {https://ezproxy.ubiobio.cl:2191/10.1007/s00205-013-0650-8},
doi = {10.1007/s00205-013-0650-8},
issn = {0003-9527},
year = {2013},
date = {2013-01-01},
journal = {Arch. Ration. Mech. Anal.},
volume = {210},
number = {1},
pages = {165--176},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
|
José Mansilla; Claudio Vidal Stability of equilibrium solutions in the critical case of
even-order resonance in periodic Ħamiltonian systems with
one degree of freedom Journal Article Celestial Mech. Dynam. Astronom., 116 (3), pp. 265–277, 2013, ISSN: 0923-2958. Links | Etiquetas: dynamical systems, GISDA @article{MR3072510,
title = {Stability of equilibrium solutions in the critical case of
even-order resonance in periodic Ħamiltonian systems with
one degree of freedom},
author = {José Mansilla and Claudio Vidal},
url = {https://ezproxy.ubiobio.cl:2191/10.1007/s10569-013-9488-5},
doi = {10.1007/s10569-013-9488-5},
issn = {0923-2958},
year = {2013},
date = {2013-01-01},
journal = {Celestial Mech. Dynam. Astronom.},
volume = {116},
number = {3},
pages = {265--277},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
|
Martha Álvarez-Ramírez; Claudio Vidal Behavior of the binary collision in a planar restricted
$(N+1)$-body problem Journal Article Phys. D, 254 , pp. 1–11, 2013, ISSN: 0167-2789. Links | Etiquetas: dynamical systems, GISDA @article{MR3061924,
title = {Behavior of the binary collision in a planar restricted
$(N+1)$-body problem},
author = {Martha Álvarez-Ramírez and Claudio Vidal},
url = {https://ezproxy.ubiobio.cl:2191/10.1016/j.physd.2013.02.012},
doi = {10.1016/j.physd.2013.02.012},
issn = {0167-2789},
year = {2013},
date = {2013-01-01},
journal = {Phys. D},
volume = {254},
pages = {1--11},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
|
Martha Álvarez-Ramírez; Alan Almeida Santos; Claudio Vidal On co-circular central configurations in the four and five
body-problems for homogeneous force law Journal Article J. Dynam. Differential Equations, 25 (2), pp. 269–290, 2013, ISSN: 1040-7294. Links | Etiquetas: dynamical systems, GISDA @article{MR3054637,
title = {On co-circular central configurations in the four and five
body-problems for homogeneous force law},
author = {Martha Álvarez-Ramírez and Alan Almeida Santos and Claudio Vidal},
url = {https://ezproxy.ubiobio.cl:2191/10.1007/s10884-013-9306-5},
doi = {10.1007/s10884-013-9306-5},
issn = {1040-7294},
year = {2013},
date = {2013-01-01},
journal = {J. Dynam. Differential Equations},
volume = {25},
number = {2},
pages = {269--290},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
|
Marcelo Marchesin; Claudio Vidal Spatial restricted rhomboidal five-body problem and horizontal
stability of its periodic solutions Journal Article Celestial Mech. Dynam. Astronom., 115 (3), pp. 261–279, 2013, ISSN: 0923-2958. Links | Etiquetas: dynamical systems, GISDA @article{MR3038222,
title = {Spatial restricted rhomboidal five-body problem and horizontal
stability of its periodic solutions},
author = {Marcelo Marchesin and Claudio Vidal},
url = {https://ezproxy.ubiobio.cl:2191/10.1007/s10569-012-9462-7},
doi = {10.1007/s10569-012-9462-7},
issn = {0923-2958},
year = {2013},
date = {2013-01-01},
journal = {Celestial Mech. Dynam. Astronom.},
volume = {115},
number = {3},
pages = {261--279},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
|
Dante Carrasco-Olivera; Claudio Vidal Periodic solutions, stability and non-integrability in a
generalized Ħénon-Ħeiles Ħamiltonian system Journal Article J. Nonlinear Math. Phys., 20 (2), pp. 199–213, 2013, ISSN: 1402-9251. Links | Etiquetas: dynamical systems, GISDA @article{MR3196439b,
title = {Periodic solutions, stability and non-integrability in a
generalized Ħénon-Ħeiles Ħamiltonian system},
author = {Dante Carrasco-Olivera and Claudio Vidal},
url = {https://ezproxy.ubiobio.cl:2191/10.1080/14029251.2013.805567},
doi = {10.1080/14029251.2013.805567},
issn = {1402-9251},
year = {2013},
date = {2013-01-01},
journal = {J. Nonlinear Math. Phys.},
volume = {20},
number = {2},
pages = {199--213},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
|
2012
|
Cristian Carcamo; Claudio Vidal The Chetaev theorem for ordinary difference equations Journal Article Proyecciones, 31 (4), pp. 391–402, 2012, ISSN: 0716-0917. Links | Etiquetas: dynamical systems, GISDA @article{MR3008435,
title = {The Chetaev theorem for ordinary difference equations},
author = {Cristian Carcamo and Claudio Vidal},
url = {https://ezproxy.ubiobio.cl:2191/10.4067/S0716-09172012000400007},
doi = {10.4067/S0716-09172012000400007},
issn = {0716-0917},
year = {2012},
date = {2012-01-01},
journal = {Proyecciones},
volume = {31},
number = {4},
pages = {391--402},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
|
José Mansilla; Claudio Vidal Geometric interpretation for the spectral stability in the
charged three-body problem Journal Article Celestial Mech. Dynam. Astronom., 113 (2), pp. 205–213, 2012, ISSN: 0923-2958. Links | Etiquetas: dynamical systems, GISDA @article{MR2946608,
title = {Geometric interpretation for the spectral stability in the
charged three-body problem},
author = {José Mansilla and Claudio Vidal},
url = {https://ezproxy.ubiobio.cl:2191/10.1007/s10569-012-9405-3},
doi = {10.1007/s10569-012-9405-3},
issn = {0923-2958},
year = {2012},
date = {2012-01-01},
journal = {Celestial Mech. Dynam. Astronom.},
volume = {113},
number = {2},
pages = {205--213},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
|
Jaume Llibre; Claudio Vidal Periodic orbits and non-integrability in a cosmological scalar
field Journal Article J. Math. Phys., 53 (1), pp. 012702, 14, 2012, ISSN: 0022-2488. Links | Etiquetas: dynamical systems, GISDA @article{MR2919532,
title = {Periodic orbits and non-integrability in a cosmological scalar
field},
author = {Jaume Llibre and Claudio Vidal},
url = {https://ezproxy.ubiobio.cl:2191/10.1063/1.3675493},
doi = {10.1063/1.3675493},
issn = {0022-2488},
year = {2012},
date = {2012-01-01},
journal = {J. Math. Phys.},
volume = {53},
number = {1},
pages = {012702, 14},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
|
