TRANSITION OF SPIRAL WAVE IN A MODEL OF TWO-DIMENSIONAL ARRAYS OF HINDMARSH-ROSE NEURONS | |
Ma, Jun1,2; Jia, Ya3; Wang, Chun-Ni4; Jin, Wu-Yin5 | |
刊名 | INTERNATIONAL JOURNAL OF MODERN PHYSICS B
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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. |
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