A family of periodic orbits for the extended Hamiltonian system of the Van der Pol oscillator

Jean Marc Ginoux; Jaume Llibre

doi:10.1016/j.geomphys.2022.104705

A family of periodic orbits for the extended Hamiltonian system of the Van der Pol oscillator

Jean Marc Ginoux, Jaume Llibre^*

^*Autor corresponent d’aquest treball

Departament de Matemàtiques

University of Toulon

Producció científica: Contribució a revista › Article › Recerca › Avaluat per experts

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In this paper we show a new way of using the averaging theory for studying families of periodic orbits of a Hamiltonian system. We do this study computing a new family of periodic orbits of the extension of the Van der Pol oscillator to a Hamiltonian system of two degrees of freedom.

Idioma original	Anglès
Número d’article	104705
Nombre de pàgines	7
Revista	Journal of Geometry and Physics
Volum	183
DOIs	https://doi.org/10.1016/j.geomphys.2022.104705
Estat de la publicació	Publicada - de gen. 2023

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10.1016/j.geomphys.2022.104705

https://ddd.uab.cat/record/274776

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@article{bc834840de3448c88428d299ccf16198,

title = "A family of periodic orbits for the extended Hamiltonian system of the Van der Pol oscillator",

abstract = "In this paper we show a new way of using the averaging theory for studying families of periodic orbits of a Hamiltonian system. We do this study computing a new family of periodic orbits of the extension of the Van der Pol oscillator to a Hamiltonian system of two degrees of freedom.",

keywords = "Averaging theory, Hamiltonian system, Periodic orbit, Van der Pol oscillator",

author = "Ginoux, {Jean Marc} and Jaume Llibre",

note = "Publisher Copyright: {\textcopyright} 2022 Elsevier B.V.",

year = "2023",

month = jan,

doi = "10.1016/j.geomphys.2022.104705",

language = "English",

volume = "183",

journal = "Journal of Geometry and Physics",

issn = "0393-0440",

publisher = "Elsevier",

}

TY - JOUR

T1 - A family of periodic orbits for the extended Hamiltonian system of the Van der Pol oscillator

AU - Ginoux, Jean Marc

AU - Llibre, Jaume

PY - 2023/1

Y1 - 2023/1

N2 - In this paper we show a new way of using the averaging theory for studying families of periodic orbits of a Hamiltonian system. We do this study computing a new family of periodic orbits of the extension of the Van der Pol oscillator to a Hamiltonian system of two degrees of freedom.

AB - In this paper we show a new way of using the averaging theory for studying families of periodic orbits of a Hamiltonian system. We do this study computing a new family of periodic orbits of the extension of the Van der Pol oscillator to a Hamiltonian system of two degrees of freedom.

KW - Averaging theory

KW - Hamiltonian system

KW - Periodic orbit

KW - Van der Pol oscillator

UR - http://www.scopus.com/inward/record.url?scp=85141277962&partnerID=8YFLogxK

U2 - 10.1016/j.geomphys.2022.104705

DO - 10.1016/j.geomphys.2022.104705

M3 - Article

AN - SCOPUS:85141277962

SN - 0393-0440

VL - 183

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

M1 - 104705

ER -

A family of periodic orbits for the extended Hamiltonian system of the Van der Pol oscillator

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