摘要: |
研究了一类全局耦合映射格点(GCMLs)的混沌反控制问题. 利用耦合扩张理论严格证明了受控制的GCML在Li-Yorke意义下混沌或同时在Li-Yorke和Devaney意义下混沌.通过一个例子及其计算机仿真结果来进一步说明结论的正确性. |
关键词: Li-Yorke混沌 Devaney混沌 耦合映射格点(CML) 动力系统 |
DOI:10.3969/J.ISSN.1000-5137.2023.03.001 |
分类号:O19 |
基金项目: |
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Anti-control of chaos in a class of globally coupled map lattices |
LIANG Wei, YU Yadan
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School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454000, Henan, China
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Abstract: |
A class of globally coupled map lattices (GCMLs) are investigated. Rigorous proofs to the existence of chaos either in the sense of Li-Yorke or in the sense of both Li-Yorke and Devaney in the controlled GCML are presented by employing the coupled-expanding theory. An illustrative example is provided with computer simulations, which further demonstrates the correctness of the conclusion. |
Key words: Li-Yorke chaos Devaney chaos coupled map lattice dynamical system |