Synchronization stability between initial-dependent oscillators with periodical and chaotic oscillation

doi:10.1631/jzus.A1800334

CORC > 兰州理工大学 > 兰州理工大学 > 理学院

	Synchronization stability between initial-dependent oscillators with periodical and chaotic oscillation
	Wu, Fu-qiang 1; Ma, Jun 1,2,3; Ren, Guo-dong 1
刊名	JOURNAL OF ZHEJIANG UNIVERSITY-SCIENCE A
	2018-12
卷号	19 期号:12 页码:889-903
关键词	Synchronization Bifurcation Synchronization factor Field programmable gate array (FPGA)
ISSN号	1673-565X
DOI	10.1631/jzus.A1800334
英文摘要	The selection of periodical or chaotic attractors becomes initial-dependent in that setting different initial values can trigger a different profile of attractors in a dynamical system with memory by adding a nonlinear term such as z(2)y in the Rossler system. The memory effect means that the outputs are very dependent on the initial value for variable z, e.g. magnetic flux for a memristor. In this study, standard nonlinear analyses, including phase portrait, bifurcation analysis, and Lyapunov exponent analysis were carried out. Synchronization between two coupled oscillators and a network was investigated by resetting initial states. A statistical synchronization factor was calculated to find the dependence of synchronization on the coupling intensity when different initial values were selected. Our results show that the dynamics of the attractor depends on the selection of the initial value for one variable z. In the case of coupling between two oscillators, appropriate initial values are selected to trigger two different nonlinear oscillators (periodical and chaotic). Results show that complete synchronization between periodical oscillators, chaotic oscillators, and periodical and chaotic oscillators can be realized by applying an appropriate unidirectional coupling intensity. In particular, two periodical oscillators can be coupled bidirectionally to reach chaotic synchronization so that periodical oscillation is modulated to become chaotic. When the memory effect is considered on some nodes of a chain network, enhancement of memory function can decrease the synchronization, while a small region for intensity of memory function can contribute to the synchronization of the network. Finally, dependence of attractor formation on the initial setting was verified on the field programmable gate array (FPGA) circuit in digital signal processing (DSP) builder block under Matlab/Simulink.
资助项目	National Natural Science Foundation of China[11765011] ; National Natural Science Foundation of China[11672122]
WOS研究方向	Engineering ; Physics
语种	英语
出版者	ZHEJIANG UNIV
WOS记录号	WOS:000454157600001
状态	已发表
内容类型	期刊论文
源URL	[http://119.78.100.223/handle/2XXMBERH/32309]
专题	理学院
通讯作者	Ma, Jun
作者单位	1.Lanzhou Univ Technol, Dept Phys, Lanzhou 730050, Gansu, Peoples R China 2.Chongqing Univ Posts & Telecommun, Sch Sci, Chongqing 430065, Peoples R China 3.King Abdulaziz Univ, Dept Math, NAAM Res Grp, Jeddah, Saudi Arabia
推荐引用方式 GB/T 7714	Wu, Fu-qiang,Ma, Jun,Ren, Guo-dong. Synchronization stability between initial-dependent oscillators with periodical and chaotic oscillation[J]. JOURNAL OF ZHEJIANG UNIVERSITY-SCIENCE A,2018,19(12):889-903.
APA	Wu, Fu-qiang,Ma, Jun,&Ren, Guo-dong.(2018).Synchronization stability between initial-dependent oscillators with periodical and chaotic oscillation.JOURNAL OF ZHEJIANG UNIVERSITY-SCIENCE A,19(12),889-903.
MLA	Wu, Fu-qiang,et al."Synchronization stability between initial-dependent oscillators with periodical and chaotic oscillation".JOURNAL OF ZHEJIANG UNIVERSITY-SCIENCE A 19.12(2018):889-903.