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

文献类型：期刊论文

作者Duan, Lixia2; Lu, Qishao1; Wang, Qinyun1
刊名NEUROCOMPUTING
出版日期2008-12-01
卷号72期号:1-3页码:341-351
关键词Neuron Bursting Bifurcation Codimension Fast-slow dynamics
ISSN号0925-2312
DOI10.1016/j.neucom.2008.01.019
英文摘要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.
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
语种英语
WOS记录号WOS:000261643700039
出版者ELSEVIER SCIENCE BV
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/5364]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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