Homoclinic Chaos in a Four-Dimensional Manifold Piecewise Linear System
Homoclinic Chaos in a Four-Dimensional Manifold Piecewise Linear System
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DOI：
10.1142/s0218127422502303
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发表时间：
2022-12
期刊：
影响因子：
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通讯作者：
Qiu Huang;Yongjian Liu;Chunbiao Li;Aimin Liu
中科院分区：
文献类型：
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作者：
Qiu Huang;Yongjian Liu;Chunbiao Li;Aimin Liu
讨论了一类具有一个切换流形的四维流形分段线性系统的同宿轨道的存在性。发现了一个有趣的现象，即在相同的参数设置下，系统中同时出现同宿轨道和混沌。此外，通过增加一个具有记忆的非线性控制开关，可以将同宿混沌抑制到一个周期轨道。这些理论结果与数值模拟说明。
The existence of homoclinic orbits is discussed analytically for a class of four-dimensional manifold piecewise linear systems with one switching manifold. An interesting phenomenon is found, that is, under the same parameter setting, homoclinic orbits and chaos appear simultaneously in the system. In addition, homoclinic chaos can be suppressed to a periodic orbit by adding a nonlinear control switch with memory. These theoretical results are illustrated with numerical simulations.