Collapse of Synchronization in a Memristive Network

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	Collapse of Synchronization in a Memristive Network
	Lv Mi 1; Wang Chun-Ni 1; Tang Jun 2; Ma Jun 1
刊名	COMMUNICATIONS IN THEORETICAL PHYSICS
	2015-12
卷号	64 期号:6 页码:659-664
关键词	synchronization network memristor
ISSN号	0253-6102
英文摘要	For an oscillating circuit or coupled circuits, damage in electric devices such as inductor, resistance, memristor even capacitor can cause breakdown or collapse of the circuits. These damage could be associated with external attack or aging in electric devices, and then the bifurcation parameters could be deformed from normal values. Resonators or signal generators are often synchronized to produce powerful signal series and this problem could be investigated by using synchronization in network. Complete synchronization could be induced by linear coupling in a two-dimensional network of identical oscillators when the coupling intensity is beyond certain threshold. The collective behavior and synchronization state are much dependent on the bifurcation parameters. Any slight fluctuation in parameter and breakdown in bifurcation parameter can cause transition of synchronization even collapse of synchronization in the network. In this paper, a two-dimensional network composed of the resonators coupled with memristors under nearest neighbor connection is designed, and the network can reach complete synchronization by carefully selecting coupling intensity. The network keeps synchronization after certain transient period, then a bifurcation parameter in a resonator is switched from the previous value and the adjacent resonators (oscillators) are affected in random. It is found that the synchronization area could be invaded greatly in a diffusive way. The damage area size is much dependent on the selection of diffusive period of damage and deformation degree in the parameter. Indeed, the synchronization area could keep intact at largest size under intermediate deformation degree and coupling intensity.
资助项目	National Natural Science of China[11265008] ; National Natural Science of China[11365014]
WOS研究方向	Physics
语种	英语
出版者	IOP PUBLISHING LTD
WOS记录号	WOS:000369428000009
状态	已发表
内容类型	期刊论文
源URL	[http://119.78.100.223/handle/2XXMBERH/33913]
专题	理学院
通讯作者	Wang Chun-Ni
作者单位	1.Lanzhou Univ Technol, Dept Phys, Lanzhou 730050, Peoples R China 2.China Univ Min & Technol, Coll Sci, Xuzhou 221000, Peoples R China
推荐引用方式 GB/T 7714	Lv Mi,Wang Chun-Ni,Tang Jun,et al. Collapse of Synchronization in a Memristive Network[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2015,64(6):659-664.
APA	Lv Mi,Wang Chun-Ni,Tang Jun,&Ma Jun.(2015).Collapse of Synchronization in a Memristive Network.COMMUNICATIONS IN THEORETICAL PHYSICS,64(6),659-664.
MLA	Lv Mi,et al."Collapse of Synchronization in a Memristive Network".COMMUNICATIONS IN THEORETICAL PHYSICS 64.6(2015):659-664.