Synchronization dependence on initial setting of chaotic systems without equilibria

doi:10.1016/j.chaos.2018.03.024

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	Synchronization dependence on initial setting of chaotic systems without equilibria
	Wu, Fuqiang 1,2; Zhou, Ping 1; Alsaedi, Ahmed 3; Hayat, Tasawar 3; Ma, Jun 1,2
刊名	CHAOS SOLITONS & FRACTALS
	2018-05
卷号	110 页码:124-132
关键词	Synchronization factor Network Hamilton energy Chaos synchronization Bifurcation
ISSN号	0960-0779
DOI	10.1016/j.chaos.2018.03.024
英文摘要	An initial-dependent system is developed from an electromotor driven by nonlinear torque. Standard nonlinear analysis is carried out and chaotic region is explored in the dynamical system without equilibria. Phase portrait, Lyapunov exponent spectrum, Hamilton energy and bifurcation analysis are calculated to confirm the emergence of chaos and state selection. It is found that the attractor type (periodical or chaotic) is dependent on the initial setting. Furthermore, bidirectional coupling is used to detect the synchronization approach between two initial-dependent electomotors. In the case of network synchronization and pattern selection, a chain network is designed and statistical factor of synchronization is calculated to predict the synchronization stability on the network. It is found that the synchronization stability shows some dependence on initial setting for one variable(external load). The Hamilton energy is also calculated to find the behavior dependence on initial setting and parameter selection by using Helmholtz theorem. (C) 2018 Elsevier Ltd. All rights reserved.
资助项目	National Natural Science Foundation of China[11672122] ; National Natural Science Foundation of China[11765011]
WOS研究方向	Mathematics ; Physics
语种	英语
出版者	PERGAMON-ELSEVIER SCIENCE LTD
WOS记录号	WOS:000432778300014
状态	已发表
内容类型	期刊论文
源URL	[http://119.78.100.223/handle/2XXMBERH/32677]
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, Lanzhou 730050, Gansu, Peoples R China 3.King Abdulaziz Univ, Dept Math, NAAM Res Grp, Jeddah 21589, Saudi Arabia
推荐引用方式 GB/T 7714	Wu, Fuqiang,Zhou, Ping,Alsaedi, Ahmed,et al. Synchronization dependence on initial setting of chaotic systems without equilibria[J]. CHAOS SOLITONS & FRACTALS,2018,110:124-132.
APA	Wu, Fuqiang,Zhou, Ping,Alsaedi, Ahmed,Hayat, Tasawar,&Ma, Jun.(2018).Synchronization dependence on initial setting of chaotic systems without equilibria.CHAOS SOLITONS & FRACTALS,110,124-132.
MLA	Wu, Fuqiang,et al."Synchronization dependence on initial setting of chaotic systems without equilibria".CHAOS SOLITONS & FRACTALS 110(2018):124-132.