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一类全局耦合映射格点的混沌反控制
梁伟, 于亚丹
河南理工大学 数学与信息科学学院, 河南 焦作 454000
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:
Anti-control of chaos in a class of globally coupled map lattices
LIANG Wei, YU Yadan
School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454000, Henan, China
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