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

被引：3

作者：

Ginoux, Jean -Marc ^{[1
]}

Llibre, Jaume ^{[2
]}

机构：

[1] Aix Marseille Univ, Univ Toulon, CNRS, CPT, Marseille, France

[2] Univ Autonoma Barcelona, Dept Matemat, Barcelona 08193, Spain

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2023年 / 183卷

基金：

欧盟地平线“2020”;

关键词：

Periodic orbit; Hamiltonian system; Van der Pol oscillator; Averaging theory;

D O I：

10.1016/j.geomphys.2022.104705

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.(c) 2022 Elsevier B.V. All rights reserved.

引用

页数：7

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