The asymptotic structure of the Morris-Lecar model

H. Y. Li; Y. K. Wong; Wai Lok Chan

doi:10.1016/j.neucom.2010.12.023

The asymptotic structure of the Morris-Lecar model

H. Y. Li
, Y. K. Wong
, Wai Lok Chan

The Hong Kong Polytechnic University

Research output: Journal article publication › Journal article › Academic research › peer-review

4 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	2108-2113
Number of pages	6
Journal	Neurocomputing
Volume	74
Issue number	12-13
DOIs	https://doi.org/10.1016/j.neucom.2010.12.023
Publication status	Published - 1 Jun 2011

Keywords

Asymptotic structure
External stimulation
Fast-slow systems
Morris-Lecar model
Singular perturbations

ASJC Scopus subject areas

Artificial Intelligence
Computer Science Applications
Cognitive Neuroscience

More information

10.1016/j.neucom.2010.12.023

Cite this

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AU - Wong, Y. K.

AU - Chan, Wai Lok

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N2 - 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.

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KW - Asymptotic structure

KW - External stimulation

KW - Fast-slow systems

KW - Morris-Lecar model

KW - Singular perturbations

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DO - 10.1016/j.neucom.2010.12.023

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JF - Neurocomputing

IS - 12-13

ER -

The asymptotic structure of the Morris-Lecar model

Abstract

Keywords

ASJC Scopus subject areas

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