Development and transition of spiral wave in the coupled Hindmarsh-Rose neurons in two-dimensional space
文献类型：期刊论文
| 作者 | Ma Jun1,2; Ying He-Ping3; Liu Yong4; Li Shi-Rong1 |
| 刊名 | CHINESE PHYSICS B
 |
| 出版日期 | 2009 |
| 卷号 | 18期号:1页码:98-105 |
| 关键词 | Spiral Wave Hindmarsh-rose Neurons Instability |
| ISSN号 | 1674-1056 |
| 英文摘要 | The dynamics and the transition of spiral waves in the coupled Hindmarsh-Rose (H-R) neurons in two-dimensional space are investigated in the paper. It is found that the spiral wave can be induced and developed in the coupled HR neurons in two-dimensional space, with appropriate initial values and a parameter region given. However, the spiral wave could encounter instability when the intensity of the external current reaches a threshold value of 1.945. The transition of spiral wave is found to be affected by coupling intensity D and bifurcation parameter r. The spiral wave becomes sparse as the coupling intensity increases, while the spiral wave is eliminated and the whole neuronal system becomes homogeneous as the bifurcation parameter increases to a certain threshold value. Then the coupling action of the four sub-adjacent neurons, which is described by coupling coefficient D', is also considered, and it is found that the spiral wave begins to breakup due to the introduced coupling action from the sub-adjacent neurons (or sites) and together with the coupling action of the nearest-neighbour neurons, which is described by the coupling intensity D. |
| WOS关键词 | GINZBURG-LANDAU EQUATION ; SPATIOTEMPORAL CHAOS ; COHERENCE RESONANCE ; COMPLETE SYNCHRONIZATION ; DIFFERENTIAL-EQUATIONS ; STOCHASTIC RESONANCE ; NEURAL-NETWORK ; NOISE ; MODEL ; ELIMINATION |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000262494700017 |
| 出版者 | IOP PUBLISHING LTD |
| 资助机构 | The dynamics and the transition of spiral waves in the coupled Hindmarsh-Rose (H-R) neurons in two-dimensional space are investigated in the paper. It is found that the spiral wave can be induced and developed in the coupled HR neurons in two-dimensional space, with appropriate initial values and a parameter region given. However, the spiral wave could encounter instability when the intensity of the external current reaches a threshold value of 1.945. The transition of spiral wave is found to be affected by coupling intensity D and bifurcation parameter r. The spiral wave becomes sparse as the coupling intensity increases, while the spiral wave is eliminated and the whole neuronal system becomes homogeneous as the bifurcation parameter increases to a certain threshold value. Then the coupling action of the four sub-adjacent neurons, which is described by coupling coefficient D', is also considered, and it is found that the spiral wave begins to breakup due to the introduced coupling action from the sub-adjacent neurons (or sites) and together with the coupling action of the nearest-neighbour neurons, which is described by the coupling intensity D. |
| 公开日期 | 2010-10-29 |
| 源URL | [http://ir.imp.cas.cn/handle/113462/5397]  |
| 专题 | 近代物理研究所_近代物理研究所知识存储（2010之前） |
| 通讯作者 | Ma Jun |
| 作者单位 | 1.Lanzhou Univ Technol, Sch Sci, Lanzhou 730050, Peoples R China 2.Cent China Normal Univ, Dept Phys, Wuhan 430079, Peoples R China 3.Zhejiang Univ, Zhejiang Inst Modern Phys, Hangzhou 310027, Zhejiang, Peoples R China 4.Yancheng Teachers Univ, Dept Math, Yancheng 224009, Peoples R China |
| 推荐引用方式 GB/T 7714 | Ma Jun,Ying He-Ping,Liu Yong,et al. Development and transition of spiral wave in the coupled Hindmarsh-Rose neurons in two-dimensional space[J]. CHINESE PHYSICS B,2009,18(1):98-105. |
| APA | Ma Jun,Ying He-Ping,Liu Yong,&Li Shi-Rong.(2009).Development and transition of spiral wave in the coupled Hindmarsh-Rose neurons in two-dimensional space.CHINESE PHYSICS B,18(1),98-105. |
| MLA | Ma Jun,et al."Development and transition of spiral wave in the coupled Hindmarsh-Rose neurons in two-dimensional space".CHINESE PHYSICS B 18.1(2009):98-105. |
入库方式： OAI收割
来源：近代物理研究所
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