| 一类全局耦合映射格点的混沌反控制 |
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| 引用本文： | 梁伟,于亚丹.一类全局耦合映射格点的混沌反控制[J].上海师范大学学报(自然科学版),2023,52(3):273-284. |
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| 作者姓名： | 梁伟 于亚丹 |
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| 作者单位： | 河南理工大学 数学与信息科学学院, 河南 焦作 454000 |
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| 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.
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| 关 键 词： | Li-Yorke混沌 Devaney混沌 耦合映射格点(CML) 动力系统 |
| 收稿时间： | 2022/9/18 0:00:00 |
Anti-control of chaos in a class of globally coupled map lattices |
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| LIANG Wei,YU Yadan.Anti-control of chaos in a class of globally coupled map lattices[J].Journal of Shanghai Normal University(Natural Sciences),2023,52(3):273-284. |
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| Authors: | LIANG Wei YU Yadan |
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| Institution: | 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. |
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| Keywords: | Li-Yorke chaos Devaney chaos coupled map lattice dynamical system |
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