Bifurcation analysis of a two-dimensional simplified Hodgkin-Huxley model exposed to external electric fields
文献类型：期刊论文
| 作者 | Wang, Hu 1; Yu, Yongguang 1; Wang, Sha 1; Yu, Junzhi 2 |
| 刊名 | Neural Information Processing - 19th International Conference, ICONIP 2012, Proceedings
 |
| 出版日期 | 2013 |
| 卷号 | 24期号:1页码:37-44 |
| 关键词 | Hodgkin–Huxley model Simplified model Bifurcation Periodic solution |
| 通讯作者 | Yu, Junzhi |
| 英文摘要 | In this paper, the dynamical behaviors of a two-dimensional simplified Hodgkin-Huxley (H-H) model exposed to external electric fields are investigated through qualitative analysis and numerical simulation. A necessary and sufficient condition is proposed for the existence of the Hopf bifurcation. Saddle-node bifurcations and canards of the simplified model with the coefficients of different linear forms are also discussed. Finally, the bifurcation curves with the coefficients of different linear forms are shown. The numerical results demonstrate that some linear forms can retain the bifurcation characteristics of the original model, which is of great use to simplify the H-H model for the real-world applications. |
| WOS标题词 | Science & Technology ; Technology |
| 类目[WOS] | Computer Science, Artificial Intelligence |
| 研究领域[WOS] | Computer Science |
| 会议名称 | 19th International Conference on Neural Information Processing, ICONIP 2012 |
| 关键词[WOS] | CANARDS ; EQUATIONS |
| 收录类别 | SCI ; ISTP |
| 会议地点 | Doha, Qatar |
| 会议日期 | 2012.11 |
| 语种 | 英语 |
| WOS记录号 | WOS:000329407500006 |
| 源URL | [http://ir.ia.ac.cn/handle/173211/3508]  |
| 专题 | 自动化研究所_复杂系统管理与控制国家重点实验室_先进机器人控制团队 |
| 作者单位 | 1. Department of Mathematics, Beijing Jiaotong University, Beijing, 100044, China 2. Institute of Automation, Chinese Academy of Sciences, Beijing, 100190, China |
| 推荐引用方式 GB/T 7714 | Wang, Hu ,Yu, Yongguang ,Wang, Sha ,et al. Bifurcation analysis of a two-dimensional simplified Hodgkin-Huxley model exposed to external electric fields[J]. Neural Information Processing - 19th International Conference, ICONIP 2012, Proceedings,2013,24(1):37-44. |
| APA | Wang, Hu ,Yu, Yongguang ,Wang, Sha ,&Yu, Junzhi .(2013).Bifurcation analysis of a two-dimensional simplified Hodgkin-Huxley model exposed to external electric fields.Neural Information Processing - 19th International Conference, ICONIP 2012, Proceedings,24(1),37-44. |
| MLA | Wang, Hu ,et al."Bifurcation analysis of a two-dimensional simplified Hodgkin-Huxley model exposed to external electric fields".Neural Information Processing - 19th International Conference, ICONIP 2012, Proceedings 24.1(2013):37-44. |
入库方式： OAI收割
来源：自动化研究所
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