Bifurcation analysis of a two-dimensional simplified Hodgkin-Huxley model exposed to external electric fields

CORC > 自动化研究所 > 中国科学院自动化研究所 > 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

	Bifurcation analysis of a two-dimensional simplified Hodgkin-Huxley model exposed to external electric fields
	Wang, Hu 1; Yu, Yongguang 1; Wang, Sha 1; Yu, Junzhi 2
刊名	Neural Information Processing - 19th International Conference, ICONIP 2012, Proceedings
	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
内容类型	期刊论文
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.