一类n-adic系统的混沌性

Chaotic Behavors for a Class of N-adic Systems

引进了弱n-adic集映射和具有全n-adic集系统的概念,讨论了弱n-adic集映射具有正拓扑熵条件和具有全n-adic集系统在回复性上的混沌性。证明了n不是2的倍数的n-adic系统是Devaney混沌的,Wiggins混沌的,按序列分布混沌的,分布混沌的,Martelli’s混沌的,ω混沌的,Block and cop-ple混沌的。

In this paper,we introduce the map of weak n-adic systems set and the notion of a full n-adic set system.Then we discuss the condition of weak n-adic set map with positive topological entropy and the chaotic behavior of a full n-adic set system in the recovery.We prove that n-adic systems,in which n is not a power of 2,are Devaney chaotic,Wiggins chaotic,distributional chaos in a sequence,distributional chaos,Martelli＇s chaotic,W-chaotic,Kato＇s chaotic,Block and copple chaotic.