一类全局耦合映射格点的混沌反控制

Anti-control of chaos in a class of globally coupled map lattices

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.

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.