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Generations and mechanisms of multi-stripe chaotic attractors of fractional order dynamic system

文献类型：期刊论文

作者Yang, Shuiping1,2; Wu, Jianxin3; Li, Min4; Xiao, Aiguo1
刊名APPLIED MATHEMATICS AND COMPUTATION
出版日期2011-03-01
卷号217期号:13页码:6219-6229
关键词Fractional order system Chaos Multi-stripe attractors Dynamic system "Parallel" stripes "Rectangular" stripes
ISSN号0096-3003
DOI10.1016/j.amc.2010.12.107
英文摘要In this paper, the generations of multi-stripe chaotic attractors of fractional order system are considered. The original fractional order chaotic attractors can be turned into a pattern with multiple "parallel" or "rectangular" stripes by employing certain simple periodic nonlinear functions. The relationships between the parameters relate to the periodic functions and the shape of the generated attractors are analyzed. Theoretical investigations about the underlying mechanisms of the parallel striped attractors of fractional order system are presented, with the fractional order Lorenz, Rossler and Chua's systems as examples. Moreover, the periodic doubling striped route to chaos of fractional order Rossler system and maximum Lyaponov exponent calculations are also given. (C) 2010 Elsevier Inc. All rights reserved.
资助项目State Key Laboratory of Scientific and Engineering Computing, Chinese Academy of Sciences ; National Natural Science Foundation of China[10672143] ; National Natural Science Foundation of China[10872037] ; NSF of China[10971175] ; NSF of China[10871207] ; NSF of Guangdong Province[10151601501000003]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000287690400022
出版者ELSEVIER SCIENCE INC
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/11401]  
专题中国科学院数学与系统科学研究院
通讯作者Yang, Shuiping
作者单位1.Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Hunan, Peoples R China
2.Huizhou Univ, Dept Math, Huizhou 516007, Guangdong, Peoples R China
3.Tianjin Binhai Comprehens Dev Inst, Tianjin 300457, Peoples R China
4.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China
推荐引用方式
GB/T 7714		 Yang, Shuiping,Wu, Jianxin,Li, Min,et al. Generations and mechanisms of multi-stripe chaotic attractors of fractional order dynamic system[J]. APPLIED MATHEMATICS AND COMPUTATION,2011,217(13):6219-6229.
APA Yang, Shuiping,Wu, Jianxin,Li, Min,&Xiao, Aiguo.(2011).Generations and mechanisms of multi-stripe chaotic attractors of fractional order dynamic system.APPLIED MATHEMATICS AND COMPUTATION,217(13),6219-6229.
MLA Yang, Shuiping,et al."Generations and mechanisms of multi-stripe chaotic attractors of fractional order dynamic system".APPLIED MATHEMATICS AND COMPUTATION 217.13(2011):6219-6229.

入库方式： OAI收割

来源：数学与系统科学研究院

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