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

Chaos

School of Mathematical Sciences, Shanghai Key Laboratory of PMMP, East China Normal University, Shanghai 200241, People's Republic of China.

Published: July 2022

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.

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Source
http://dx.doi.org/10.1063/5.0092903DOI Listing

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