混沌半群作用对初始的敏感依赖

International Conference on Computing, Networking, and Communications : [proceedings]. International Conference on Computing, Networking and Communications Pub Date : 2012-05-29 DOI:10.1109/ICNC.2012.6234653

Peng Guan, Yun Qian

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引用次数: 2

摘要

本文设X为非空紧度量位，S为半群。通过拓扑传递性和对初始的敏感依赖，引入了Devaney混沌的概念。证明了当半群S连续作用于紧度量空间x时，拓扑强混合隐含Devaney混沌，同时推广了对初始敏感依赖的概念。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Sensitive dependence on initial of chaotic semi-group actions

In this paper, let X a non—empty compact metric place and S a semi-group. By topological transitivity and sensitive dependence on the initial, we introduces a concept of Devaney's chaos. We prove that topologically strong mixing implies Devaney's chaos when semi-group S continuously acts on the compact metric space X. At the same time, we popularize the concept of sensitive dependence on initial.

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International Conference on Computing, Networking, and Communications : [proceedings]. International Conference on Computing, Networking and Communications

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