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大连民族学院学报 2012, Vol. 14 Issue (05) :463-465    DOI:
物理与数学 最新目录 | 下期目录 | 过刊浏览 | 高级检索 << Previous Articles | Next Articles >>
一类n-adic系统的混沌性
王立冬1,于旺2
1. 大连民族学院
2. 辽宁师范大学数学学院
Chaotic Behaviors for a Class of N-adic Systems
2
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摘要 在这篇文章中我们引进了弱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, 混沌的, Block and copple 混沌的
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王立冬
于旺
关键词弱n-aic集   具有全n-adic集系统   混沌   weak n-adic set   full n-adic set system   chaotic     
Abstract: In this paper, we introduce the map of weak n-adic systems set and the notion of a full n-adic set systems. With the help of weak n-adic set, we discuss the condition of weak n-adic set map with positive topological entropy ,which is that n is not the power of 2, and we also discuss the chaotic behavior of a full n-adic set system in the recovery. And by means of entropy, we proves 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, Block and copple chaotic.
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收稿日期: 2012-03-05; 出版日期: 2012-12-07
通讯作者 王立冬     Email: wld@dlnu.edu.cn
引用本文:   
王立冬, 于旺 .一类n-adic系统的混沌性[J]  .大连民族学院学报, 2012,14(05): 463-465
WANG Li-Dong, YU Wang .Chaotic Behaviors for a Class of N-adic Systems[J]  .Journal of Dalian Nationalities University, 2012,14(05): 463-465
链接本文:  
http://xb.dlnu.edu.cn/CN/     或     http://xb.dlnu.edu.cn/CN/Y2012/V14/I05/463
 
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