紧致度量空间中一列映射的传递性和混沌性

Transitivity and chaos of a sequence of maps in a compact metric space

研究紧致度量空间中推广意义下的传递性和混沌性.对拓扑传递性进行了推广,修改了广义Devaney混沌系统,扩展了混沌系统的研究范围.研究了推广的拓扑传递性和修改的广义Devaney混沌之间的关系,给出了推广意义下关于拓扑传递2个结论.证明了拓扑强传递的蕴涵修改的广义Devaney混沌,得出了拓扑强传递的、修改的广义Devaney混沌在h共轭条件下保持不变的结论.

Promoting topological transitivity and chaos are investigated in a compact metric space. Topological transitivity is promoted. The promotion of the Devaney chaotic system is revised. The scope of the research on chaotic system is extended. Some relationships are studied between promoting transitivity and Devaney chaotic system. Two conclusions of promoting topological transitivity are given. Topological strong transitivity implying promoting Devaney chaotic is investigated. Two conclusions of topological strong transitivity and the revision of the generalized Devancy chaos kept invariant under h-conjugate are obtained.