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^*

^*Corresponding author for this work

School of Mathematical Sciences

East China Normal University

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

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 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.

Original language	English
Article number	073128
Journal	Chaos
Volume	32
Issue number	7
DOIs	https://doi.org/10.1063/5.0092903
State	Published - 1 Jul 2022

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@article{baecf065065049a493c1e0becac8f74d,

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",

note = "Publisher Copyright: {\textcopyright} 2022 Author(s).",

year = "2022",

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doi = "10.1063/5.0092903",

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

AU - Li, Zhengkang

AU - Liu, Xingbo

PY - 2022/7/1

Y1 - 2022/7/1

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

C2 - 35907718

AN - SCOPUS:85135217970

SN - 1054-1500

VL - 32

JO - Chaos

JF - Chaos

IS - 7

M1 - 073128

ER -

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

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