TRANSITION OF SPIRAL WAVE IN A MODEL OF TWO-DIMENSIONAL ARRAYS OF HINDMARSH-ROSE NEURONS

doi:10.1142/S0217979211100266

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	TRANSITION OF SPIRAL WAVE IN A MODEL OF TWO-DIMENSIONAL ARRAYS OF HINDMARSH-ROSE NEURONS
	Ma, Jun 1,2; Jia, Ya 3; Wang, Chun-Ni 4; Jin, Wu-Yin 5
刊名	INTERNATIONAL JOURNAL OF MODERN PHYSICS B
	2011-05-10
卷号	25 期号:12 页码:1653-1670
关键词	Spiral wave Hindmarsh-Rose neurons instability factor of synchronization
ISSN号	0217-9792
DOI	10.1142/S0217979211100266
英文摘要	In this paper, the condition of completely nearest-neighbor couplings is introduced into the coupled Hindmarsh-Rose neurons in two-dimensional arrays. It is found that the stable rotating spiral wave can be developed and the transition of spiral wave in the coupled Hindmarsh-Rose neurons are investigated. The factor of synchronization is defined to investigate the development and instability of the spiral wave. Furthermore, the external injected current, coupling coefficients and other decisive bifurcation parameter r and chi, are endowed with different values to study the transition of spiral wave by analyzing the factor of synchronization and the snapshots of the activator. It is found that the critical sudden change points in the curve for factor of synchronization often indicates sudden transition of spiral wave, the instability or death of the spiral wave. The snapshots are also plotted to confirm the results from the curve of the factor of synchronization. Finally, the noise-induced instability and chaotic logistic map-induced instability of spiral wave are investigated and discussed.
资助项目	Educational tutors fund projects of Gansu Province[1010ZTC088]
WOS研究方向	Physics
语种	英语
出版者	WORLD SCIENTIFIC PUBL CO PTE LTD
WOS记录号	WOS:000291167900011
状态	已发表
内容类型	期刊论文
源URL	[http://119.78.100.223/handle/2XXMBERH/35101]
专题	理学院机电工程学院
通讯作者	Ma, Jun
作者单位	1.Lanzhou Univ Technol, Sch Sci, Lanzhou 730050, Peoples R China 2.China Key Lab Gansu Adv Control Ind Proc, Lanzhou 730050, Peoples R China 3.Cent China Normal Univ, Dept Phys, Wuhan 430079, Peoples R China 4.Lanzhou Univ Technol, Sch Sci, Lanzhou 730050, Peoples R China 5.Lanzhou Univ Technol, Coll Mechano Elect Engn, Lanzhou 730050, Peoples R China
推荐引用方式 GB/T 7714	Ma, Jun,Jia, Ya,Wang, Chun-Ni,et al. TRANSITION OF SPIRAL WAVE IN A MODEL OF TWO-DIMENSIONAL ARRAYS OF HINDMARSH-ROSE NEURONS[J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS B,2011,25(12):1653-1670.
APA	Ma, Jun,Jia, Ya,Wang, Chun-Ni,&Jin, Wu-Yin.(2011).TRANSITION OF SPIRAL WAVE IN A MODEL OF TWO-DIMENSIONAL ARRAYS OF HINDMARSH-ROSE NEURONS.INTERNATIONAL JOURNAL OF MODERN PHYSICS B,25(12),1653-1670.
MLA	Ma, Jun,et al."TRANSITION OF SPIRAL WAVE IN A MODEL OF TWO-DIMENSIONAL ARRAYS OF HINDMARSH-ROSE NEURONS".INTERNATIONAL JOURNAL OF MODERN PHYSICS B 25.12(2011):1653-1670.