A class of initials-dependent dynamical systems

doi:10.1016/j.amc.2016.11.004

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	A class of initials-dependent dynamical systems
	Ma, Jun1,2 ; Wu, Fuqiang 2; Ren, Guodong2 ; Tang, Jun 3
	2017-04
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	298 页码:65-76
摘要	Nonlinear term is critical for emergence of chaos in autonomous dynamical systems. The sampled time series in chaotic system are dependent on the initial selection of variables, while the attractors are invariant for fixed parameters. In this paper, the dynamical behavior of a class of dynamical system is investigated at fixed parameter region. It is found that the state selection is dependent on the initials and the potential mechanism is discussed. It is confirmed that the system can be switched between stable state, periodical state and even chaotic state by selecting appropriate initials even the parameters are fixed. We think that nonlinear cross terms with higher order could account for the emergence of this behavior. It indicates that initial selection and resetting can be also effective to control some chaotic systems, and these chaotic systems could enhance security for possible secure communication because the chaotic attractor depends on the parameter and initials selection as well. In the case of secure communication, the reconstruction of phase space becomes more difficult because the attractors are changed arbitrarily, thus the safety for secure keys is enhanced. For chaos control, when the initials are reset, the controller can be removed and the system can develop to step into the desired target by itself. (C) 2016 Elsevier Inc. All rights reserved.
关键词	Chaos Periodic oscillator Memristor Network Attractor
DOI	10.1016/j.amc.2016.11.004
收录类别	SCI ; SCIE
语种	英语
资助项目	National Natural Science Foundation of China[11372122] ; National Natural Science Foundation of China[11672122]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000392785400006
出版者	ELSEVIER SCIENCE INC
EI入藏号	20164803068930
EI主题词	Chaotic systems
EI分类号	703.1 Electric Networks - 961 Systems Science
引用统计	被引频次：100[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	https://ir.lut.edu.cn/handle/2XXMBERH/33319
专题	理学院
通讯作者	Ma, Jun
作者单位	1.Chongqing Univ Posts & Telecommun, Sch Sci, Chongqing 430065, Peoples R China; 2.Lanzhou Univ Technol, Dept Phys, Langongping 287, Lanzhou 730050, Gansu, Peoples R China; 3.China Univ Min & Technol, Dept Phys, Xuzhou 221116, Peoples R China
第一作者单位	理学院
通讯作者单位	理学院
第一作者的第一单位	理学院
推荐引用方式 GB/T 7714	Ma, Jun,Wu, Fuqiang,Ren, Guodong,et al. A class of initials-dependent dynamical systems[J]. APPLIED MATHEMATICS AND COMPUTATION,2017,298:65-76.
APA	Ma, Jun,Wu, Fuqiang,Ren, Guodong,&Tang, Jun.(2017).A class of initials-dependent dynamical systems.APPLIED MATHEMATICS AND COMPUTATION,298,65-76.
MLA	Ma, Jun,et al."A class of initials-dependent dynamical systems".APPLIED MATHEMATICS AND COMPUTATION 298(2017):65-76.

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