Hopf bifurcation control of the M-L neuron model with type I

doi:10.1007/s11071-016-3073-x

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	Hopf bifurcation control of the M-L neuron model with type I
	Huang, Chunli 1; Sun, Wen 1; Zheng, Zhigang 2; Lu, Jinhu3,4 ; Chen, Shihua 5
	2017
发表期刊	NONLINEAR DYNAMICS
ISSN	0924-090X
卷号	87 期号:2 页码:755-766
摘要	Many neurological diseases are known to be caused by bifurcations induced by a change in the values of one or more regulating parameter of nervous systems. The bifurcation control may have potential applications in the diagnosis and therapy of these dynamical diseases. In this paper, a washout filter-aided dynamic feedback controller composed of the linear term and the nonlinear cubic term is employed to control the onset of Hopf bifurcation in the Morris-Lecar (M-L) neuron model with type I. It is shown that the linear term determines the location of the Hopf bifurcation, while the nonlinear cubic term regulates the criticality of the Hopf bifurcation, preventing it from occurring in a certain range of the externally applied current. The relationships among the externally applied current, the linear control gain and the reciprocal of the filter time constant are further systematically analyzed, which help to make the best choice from the feasible parameter space to achieve our control task. Simulation results are provided to illustrate the effectiveness of the proposed methods.
关键词	Morris-Lecar model Hopf bifurcation control Washout filter Neural diseases
DOI	10.1007/s11071-016-3073-x
语种	英语
资助项目	National Key Research and Development Program of China[2016YFB0800401] ; National Natural Science Foundation of China[61621003] ; National Natural Science Foundation of China[61532020] ; National Natural Science Foundation of China[11472290] ; National Natural Science Foundation of China[61472027] ; National Natural Science Foundation of China[11475022] ; National Natural Science Foundation of China[11547006] ; National Natural Science Foundation of China[61503046] ; Key Program of Frontier Science of the Chinese Academy of Sciences[QYZDJ-SSW-JSC003] ; Guangxi Education Department Key Laboratory of Symbolic Computation and Engineering Data Processing[FH201502]
WOS研究方向	Engineering ; Mechanics
WOS类目	Engineering, Mechanical ; Mechanics
WOS记录号	WOS:000392293200003
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/24515
专题	系统科学研究所
通讯作者	Sun, Wen
作者单位	1.Yangtze Univ, Sch Informat & Math, Jingzhou 434023, Peoples R China 2.Huaqiao Univ, Coll Informat Sci & Engn, Xiamen 361021, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 4.King Abdulaziz Univ, Fac Engn, Jeddah, Saudi Arabia 5.Wuhan Univ, Coll Math & Stat, Wuhan 430072, Peoples R China
推荐引用方式 GB/T 7714	Huang, Chunli,Sun, Wen,Zheng, Zhigang,et al. Hopf bifurcation control of the M-L neuron model with type I[J]. NONLINEAR DYNAMICS,2017,87(2):755-766.
APA	Huang, Chunli,Sun, Wen,Zheng, Zhigang,Lu, Jinhu,&Chen, Shihua.(2017).Hopf bifurcation control of the M-L neuron model with type I.NONLINEAR DYNAMICS,87(2),755-766.
MLA	Huang, Chunli,et al."Hopf bifurcation control of the M-L neuron model with type I".NONLINEAR DYNAMICS 87.2(2017):755-766.