Differential coupling contributes to synchronization via a capacitor connection between chaotic circuits

doi:10.1631/FITEE.1800499

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	Differential coupling contributes to synchronization via a capacitor connection between chaotic circuits
	Xu, Yu-meng 1; Yao, Zhao 1; Hobiny, Aatef 2; Ma, Jun 1
刊名	FRONTIERS OF INFORMATION TECHNOLOGY & ELECTRONIC ENGINEERING
	2019-04
卷号	20 期号:4 页码:571-583
关键词	Synchronization Voltage coupling Chaotic circuit Capacitor coupling
ISSN号	2095-9184
DOI	10.1631/FITEE.1800499
英文摘要	Nonlinear oscillators and circuits can be coupled to reach synchronization and consensus. The occurrence of complete synchronization means that all oscillators can maintain the same amplitude and phase, and it is often detected between identical oscillators. However, phase synchronization means that the coupled oscillators just keep pace in oscillation even though the amplitude of each node could be different. For dimensionless dynamical systems and oscillators, the synchronization approach depends a great deal on the selection of coupling variable and type. For nonlinear circuits, a resistor is often used to bridge the connection between two or more circuits, so voltage coupling can be activated to generate feedback on the coupled circuits. In this paper, capacitor coupling is applied between two Pikovsk-Rabinovich (PR) circuits, and electric field coupling explains the potential mechanism for differential coupling. Then symmetric coupling and cross coupling are activated to detect synchronization stability, separately. It is found that resistor-based voltage coupling via a single variable can stabilize the synchronization, and the energy flow of the controller is decreased when synchronization is realized. Furthermore, by applying appropriate intensity for the coupling capacitor, synchronization is also reached and the energy flow across the coupling capacitor is helpful in regulating the dynamical behaviors of coupled circuits, which are supported by a continuous energy exchange between capacitors and the inductor. It is also confirmed that the realization of synchronization is dependent on the selection of a coupling channel. The approach and stability of complete synchronization depend on symmetric coupling, which is activated between the same variables. Cross coupling between different variables just triggers phase synchronization. The capacitor coupling can avoid energy consumption for the case with resistor coupling, and it can also enhance the energy exchange between two coupled circuits.
资助项目	National Natural Science Foundation of China[11672122]
WOS研究方向	Computer Science ; Engineering
语种	英语
出版者	ZHEJIANG UNIV
WOS记录号	WOS:000468244000011
状态	已发表
内容类型	期刊论文
源URL	[http://119.78.100.223/handle/2XXMBERH/32008]
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.King Abdulaziz Univ, Dept Math, NAAM Res Grp, Jeddah 21589, Saudi Arabia
推荐引用方式 GB/T 7714	Xu, Yu-meng,Yao, Zhao,Hobiny, Aatef,et al. Differential coupling contributes to synchronization via a capacitor connection between chaotic circuits[J]. FRONTIERS OF INFORMATION TECHNOLOGY & ELECTRONIC ENGINEERING,2019,20(4):571-583.
APA	Xu, Yu-meng,Yao, Zhao,Hobiny, Aatef,&Ma, Jun.(2019).Differential coupling contributes to synchronization via a capacitor connection between chaotic circuits.FRONTIERS OF INFORMATION TECHNOLOGY & ELECTRONIC ENGINEERING,20(4),571-583.
MLA	Xu, Yu-meng,et al."Differential coupling contributes to synchronization via a capacitor connection between chaotic circuits".FRONTIERS OF INFORMATION TECHNOLOGY & ELECTRONIC ENGINEERING 20.4(2019):571-583.