Two-parameter bifurcation analysis of firing activities in the Chay neuronal model

doi:10.1016/j.neucom.2008.01.019

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	Two-parameter bifurcation analysis of firing activities in the Chay neuronal model
	Duan, Lixia 2; Lu, Qishao 1; Wang, Qinyun 1
	2008-12-01
发表期刊	NEUROCOMPUTING
ISSN	0925-2312
卷号	72 期号:1-3 页码:341-351
摘要	The parameter regions for different firing patterns in the Chay neuronal model are presented and classified by using both two-parameter bifurcations and fast-slow dynamics analysis. Firing arises via a supercritical Hopf bifurcation of the whole system and disappears via a fold limit cycle bifurcation, respectively. Complex firing phenomena, including "fold/fold" bursting, "fold/Hopf" bursting, "fold/homoclinic" bursting, chaotic bursting, as well as chaotic and periodic spiking, are found in the firing area. The transitions of bursting activities can be determined by the codimension-1 and codimension-2 bifurcations of the fast subsystems in the two-parameter plane. It is seen that the dynamical analysis of different firing activities of neurons is closely related to the global bifurcation of the whole system as well as the two-parameter bifurcations of the fast subsystems. (C) 2008 Elsevier B.V. All rights reserved.
关键词	Neuron Bursting Bifurcation Codimension Fast-slow dynamics
DOI	10.1016/j.neucom.2008.01.019
语种	英语
资助项目	National Natural Science Foundation of China[10432010] ; National Natural Science Foundation of China[60674022]
WOS研究方向	Computer Science
WOS类目	Computer Science, Artificial Intelligence
WOS记录号	WOS:000261643700039
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/5365
专题	中国科学院数学与系统科学研究院
通讯作者	Lu, Qishao
作者单位	1.Beijing Univ Aeronaut & Astronaut, Sch Sci, Beijing 100083, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Duan, Lixia,Lu, Qishao,Wang, Qinyun. Two-parameter bifurcation analysis of firing activities in the Chay neuronal model[J]. NEUROCOMPUTING,2008,72(1-3):341-351.
APA	Duan, Lixia,Lu, Qishao,&Wang, Qinyun.(2008).Two-parameter bifurcation analysis of firing activities in the Chay neuronal model.NEUROCOMPUTING,72(1-3),341-351.
MLA	Duan, Lixia,et al."Two-parameter bifurcation analysis of firing activities in the Chay neuronal model".NEUROCOMPUTING 72.1-3(2008):341-351.