The asymptotic structure of the Morris-Lecar model

被引：3

作者：

Li, H. Y. ^{[2
]}

Wong, Y. K. ^{[1
]}

Chan, W. L. ^{[1
]}

机构：

[1] Hong Kong Polytech Univ, Dept Elect Engn, Kowloon, Hong Kong, Peoples R China

[2] Tianjin Univ Technol & Educ, Sch Automat & Elect Engn, Tianjin 300222, Peoples R China

来源：

NEUROCOMPUTING | 2011年 / 74卷 / 12-13期

关键词：

Morris-Lecar model; Singular perturbations; Asymptotic structure; Fast-slow systems; External stimulation; HODGKIN-HUXLEY EQUATIONS; MULTIPLE-PARAMETER SPACE; ELECTRIC-FIELDS; HOPF BIFURCATIONS; OSCILLATIONS; STIMULATION; SENSITIVITY;

D O I：

10.1016/j.neucom.2010.12.023

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, the asymptotic structure of the Morris-Lecar (ML) model in the concepts of slow manifold and fast foliation is analyzed based on the Tikhonov's theorem. The rationality of the well-known V. N reduced ML system is discussed, and a new V, N reduced ML system is derived from a more reasonable asymptotic structures of the original ML system, which we propose. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：2108 / 2113

页数：6

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