Topological Chaos Based On Finite State System

Yashun Zhou,Zuxi Wang,Xin Zheng

2ND INTERNATIONAL CONFERENCE ON SIMULATION AND MODELING METHODOLOGIES, TECHNOLOGIES AND APPLICATIONS (SMTA 2015)(2015)

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摘要
The paper constructs a new chaotic map based on the finite state system. We prove rigorously that the map is chaotic under Devaney's definition. We also discuss that different infinite sequences can lead to the various output of finite state system. At last we point out that our map can be extended to the more general case.
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