A class of initials-dependent dynamical systems

doi:10.1016/j.amc.2016.11.004

CORC > 兰州理工大学 > 兰州理工大学 > 理学院

	A class of initials-dependent dynamical systems
	Ma, Jun 1,2; Wu, Fuqiang 2; Ren, Guodong 2; Tang, Jun 3
刊名	APPLIED MATHEMATICS AND COMPUTATION
	2017-04
卷号	298 页码:65-76
关键词	Chaos Periodic oscillator Memristor Network Attractor
ISSN号	0096-3003
DOI	10.1016/j.amc.2016.11.004
英文摘要	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.
资助项目	National Natural Science Foundation of China[11372122] ; National Natural Science Foundation of China[11672122]
WOS研究方向	Mathematics
语种	英语
出版者	ELSEVIER SCIENCE INC
WOS记录号	WOS:000392785400006
状态	已发表
内容类型	期刊论文
源URL	[http://119.78.100.223/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
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.