2022
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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}
}
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2021
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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}
}
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2020
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Jaume Llibre; Y. Paulina Martínez; Claudia Valls Limit cycles bifurcating of Kolmogorov systems in R^2 and in R^3. Journal Article Communications in Nonlinear Science and Numerical Simulation, 91 (105401), 2020. Links | Etiquetas: dynamical systems, GISDA @article{Llibre2020,
title = {Limit cycles bifurcating of Kolmogorov systems in R^2 and in R^3.},
author = {Jaume Llibre and Y. Paulina Martínez and Claudia Valls },
doi = {10.1016/j.cnsns.2020.105401},
year = {2020},
date = {2020-12-30},
journal = {Communications in Nonlinear Science and Numerical Simulation},
volume = {91},
number = {105401},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
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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}
}
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Jaume Llibre; Y. Paulina Martínez; Claudia Valls Global dynamics of a Lotka-Volterra system in $Bbb R^3$ Journal Article J. Nonlinear Math. Phys., 27 (3), pp. 509–519, 2020, ISSN: 1402-9251. Links | Etiquetas: dynamical systems, GISDA @article{MR4095661,
title = {Global dynamics of a Lotka-Volterra system in $Bbb R^3$},
author = {Jaume Llibre and Y. Paulina Martínez and Claudia Valls},
url = {https://ezproxy.ubiobio.cl:2191/10.1080/14029251.2020.1757240},
doi = {10.1080/14029251.2020.1757240},
issn = {1402-9251},
year = {2020},
date = {2020-01-01},
journal = {J. Nonlinear Math. Phys.},
volume = {27},
number = {3},
pages = {509--519},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
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Jaume Llibre; Y. Paulina Martínez; Claudia Valls On the global dynamics of a three-dimensional forced-damped differential system Journal Article J. Nonlinear Math. Phys., 27 (3), pp. 414–428, 2020, ISSN: 1402-9251. Links | Etiquetas: dynamical systems, GISDA @article{MR4095656,
title = {On the global dynamics of a three-dimensional forced-damped differential system},
author = {Jaume Llibre and Y. Paulina Martínez and Claudia Valls},
url = {https://ezproxy.ubiobio.cl:2191/10.1080/14029251.2020.1757232},
doi = {10.1080/14029251.2020.1757232},
issn = {1402-9251},
year = {2020},
date = {2020-01-01},
journal = {J. Nonlinear Math. Phys.},
volume = {27},
number = {3},
pages = {414--428},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
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Jaume Llibre; Y. Paulina Martínez Dynamics of a family of Lotka-Volterra systems in $Bbb R^3$ Journal Article Nonlinear Anal., 199 , pp. 111915, 15, 2020, ISSN: 0362-546X. Links | Etiquetas: dynamical systems, GISDA @article{MR4093820,
title = {Dynamics of a family of Lotka-Volterra systems in $Bbb R^3$},
author = {Jaume Llibre and Y. Paulina Martínez},
url = {https://ezproxy.ubiobio.cl:2191/10.1016/j.na.2020.111915},
doi = {10.1016/j.na.2020.111915},
issn = {0362-546X},
year = {2020},
date = {2020-01-01},
journal = {Nonlinear Anal.},
volume = {199},
pages = {111915, 15},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
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Y. Paulina Martínez; Claudia Valls On the global dynamics and integrability of the chemostat system Journal Article Nonlinear Anal. Real World Appl., 53 , pp. 103051, 27, 2020, ISSN: 1468-1218. Links | Etiquetas: dynamical systems, GISDA @article{MR4022050,
title = {On the global dynamics and integrability of the chemostat system},
author = {Y. Paulina Martínez and Claudia Valls},
url = {https://ezproxy.ubiobio.cl:2191/10.1016/j.nonrwa.2019.103051},
doi = {10.1016/j.nonrwa.2019.103051},
issn = {1468-1218},
year = {2020},
date = {2020-01-01},
journal = {Nonlinear Anal. Real World Appl.},
volume = {53},
pages = {103051, 27},
keywords = {dynamical systems, GISDA},
pubstate = {published},
tppubtype = {article}
}
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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}
}
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2019
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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}
}
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2018
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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}
}
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2016
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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}
}
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