Homoclinic orbits in three-dimensional continuous piecewise linear generalized Michelson systems

Zhengkang Li; Xingbo Liu

doi:10.1063/5.0092903

Homoclinic orbits in three-dimensional continuous piecewise linear generalized Michelson systems

Zhengkang Li
, Xingbo Liu^*

^*此作品的通讯作者

数学科学学院

East China Normal University

科研成果: 期刊稿件 › 文章 › 同行评审

6 引用（Scopus）

摘要

In this paper, we investigate the homoclinic orbits for the three-dimensional continuous piecewise linear generalized Michelson systems via analytical methods and numerical simulation. Based on the Poincaré map and invariant manifold theory, we discuss the existence of homoclinic orbits connecting the saddle-focus equilibrium. Finally, numerical simulations are presented to illustrate our results.

源语言	英语
文章编号	073128
期刊	Chaos
卷	32
期	7
DOI	https://doi.org/10.1063/5.0092903
出版状态	已出版 - 1 7月 2022

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title = "Homoclinic orbits in three-dimensional continuous piecewise linear generalized Michelson systems",

abstract = "In this paper, we investigate the homoclinic orbits for the three-dimensional continuous piecewise linear generalized Michelson systems via analytical methods and numerical simulation. Based on the Poincar{\'e} map and invariant manifold theory, we discuss the existence of homoclinic orbits connecting the saddle-focus equilibrium. Finally, numerical simulations are presented to illustrate our results.",

author = "Zhengkang Li and Xingbo Liu",

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year = "2022",

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T1 - Homoclinic orbits in three-dimensional continuous piecewise linear generalized Michelson systems

AU - Li, Zhengkang

AU - Liu, Xingbo

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N2 - In this paper, we investigate the homoclinic orbits for the three-dimensional continuous piecewise linear generalized Michelson systems via analytical methods and numerical simulation. Based on the Poincaré map and invariant manifold theory, we discuss the existence of homoclinic orbits connecting the saddle-focus equilibrium. Finally, numerical simulations are presented to illustrate our results.

AB - In this paper, we investigate the homoclinic orbits for the three-dimensional continuous piecewise linear generalized Michelson systems via analytical methods and numerical simulation. Based on the Poincaré map and invariant manifold theory, we discuss the existence of homoclinic orbits connecting the saddle-focus equilibrium. Finally, numerical simulations are presented to illustrate our results.

UR - https://www.scopus.com/pages/publications/85135217970

U2 - 10.1063/5.0092903

DO - 10.1063/5.0092903

M3 - 文章

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VL - 32

JO - Chaos

JF - Chaos

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M1 - 073128

ER -

Homoclinic orbits in three-dimensional continuous piecewise linear generalized Michelson systems

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