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

doi:10.1016/j.amc.2010.12.107

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	Generations and mechanisms of multi-stripe chaotic attractors of fractional order dynamic system
	Yang, Shuiping 1,2; Wu, Jianxin 3; Li, Min 4; Xiao, Aiguo 1
	2011-03-01
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	217 期号:13 页码:6219-6229
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.
关键词	Fractional order system Chaos Multi-stripe attractors Dynamic system "Parallel" stripes "Rectangular" stripes
DOI	10.1016/j.amc.2010.12.107
语种	英语
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
WOS类目	Mathematics, Applied
WOS记录号	WOS:000287690400022
出版者	ELSEVIER SCIENCE INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/11402
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.