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Ghostburster模型的混沌分析与控制
Chaos Analysis and Control of the Ghostburster Model
【Author】 Deng Bin 1,Wang Jiang 1,Chen Lisong 1 1.School of Electrical and Automation Eng,Tianjin University,Tianjin,300072,P.R.China
【机构】 天津大学电气与自动化工程学院;
【摘要】 本文以ghostburster模型为研究对象,该模型引入胞体和树突之间信息编码的传导,从胞体和树突两部分出发整体地描述了柱状细胞的动态特性。首先选取外界的直流刺激为分岔参数,通过最大Lyapunov指数方法对ghostburter模型进行单参数的分岔分析,得到了该模型独特的ghostbursting簇放电模式;选用wash-out滤波器来实现系统逃离混沌簇放电区域,并向周期放电转变.由于本文的控制器选取的控制变量为可测量的胞体膜电压,所以该方法完全具有现实意义.数值仿真结果证明了理论分析的正确性。
【Abstract】 In this paper,we took the model of the pyramidal cell in the electrosensory lateral line lobe(ELL)of weakly elec-tric fish as study object,which described the dynamic characteristic on the both soma and dendrite,and after theoretical analysis and simulation we analyze its phenomenon by choosing the applied current which is the synaptic one flowing into the somatic compartment as the bifurcation parameter;then,we choose Wash-out filter as a controller to force the dynamical sys-tem form the periodic firing to the chaotic bursting.The easy measurable of membrane voltage,make such kind of analysis a meaningful research.The simulation results verify the analysis and methods are all accurate.
【Key words】 Ghostburster model; Chaos; Bifurcation; Chaos control;
- 【会议录名称】 第二十六届中国控制会议论文集
- 【会议名称】第二十六届中国控制会议
- 【会议时间】2007-07-26
- 【会议地点】中国湖南张家界
- 【分类号】Q42;TP13
- 【主办单位】中国自动化学会控制理论专业委员会(Technical Committee on Control Theory,Chinese Association of Automation)