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

文献类型：期刊论文

作者Huang, Chunli1; Sun, Wen1; Zheng, Zhigang2; Lu, Jinhu3,4; Chen, Shihua5
刊名NONLINEAR DYNAMICS
出版日期2017
卷号87期号:2页码:755-766
关键词Morris-Lecar model Hopf bifurcation control Washout filter Neural diseases
ISSN号0924-090X
DOI10.1007/s11071-016-3073-x
英文摘要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.
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
语种英语
WOS记录号WOS:000392293200003
出版者SPRINGER
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/24514]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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