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

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 t...

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Bibliographic Details
Published in:Chaos (Woodbury, N.Y.) N.Y.), 2022-07, Vol.32 (7), p.073128-073128
Main Authors: Li, Zhengkang, Liu, Xingbo
Format: Article
Language:English
Subjects:
Numerical methods
Orbits
Poincare maps
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Summary: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.
ISSN:1054-1500
1089-7682
DOI:10.1063/5.0092903