| 一类n-adic系统的混沌性 |
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| 引用本文： | 王立冬,于旺,孙雪莲. 一类n-adic系统的混沌性[J]. 大连民族学院学报, 2012, 14(5): 463-465. DOI: 10.3969/j.issn.1009-315X.2012.05.011 |
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| 作者姓名： | 王立冬 于旺 孙雪莲 |
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| 作者单位： | 1.大连民族学院理学院,辽宁大连,116605;2.辽宁师范大学数学学院,辽宁大连,116029 |
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| 基金项目： | 国家自然科学基金项目(10971245);中央高校基本科研业务费专项资金资助项目(DC12010111,DC110311) |
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| 摘 要： | 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。
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| 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 |
Chaotic Behavors for a Class of N-adic Systems |
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| WANG Li-dong,YU Wang,SUN Xue-Lian. Chaotic Behavors for a Class of N-adic Systems[J]. Journal of Dalian Nationalities University, 2012, 14(5): 463-465. DOI: 10.3969/j.issn.1009-315X.2012.05.011 |
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| Authors: | WANG Li-dong YU Wang SUN Xue-Lian |
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| Affiliation: | 1.College of Science,Dalian Nationalities University,Dalian Liaoning 116605,China; 2.School of Mathematics,Liaoning Normal University,Dalian Liaoning 116029,China) |
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| Abstract: | 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. |
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| Keywords: | weak n-adic set full n-adic set system chaotic |
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