The mechanism of bifurcation-dependent coherence resonance (CR) of excited neuron model is related to the system motion random transitions between attractors on two sides of bifurcation point. In this paper, the relation between the random transitions and the mechanism of bifurcation-dependent CR is examined in Morris-Lecar (ML) neuron model. Here we show that there exist different attractors on two sides of ML neuron model Hopf bifurcation point and that the system motion may transit between attractors on two sides of bifurcation point at the presence of noise. And the frequency of transitions tend towards a certain frequency for a certain optimal noise intensity, the signal-noise-ratio of system response evaluated at this certain frequency is maximal at the optimal noise intensity, CR occurs.
机构:
Beihang Univ, Sch Math Sci, Beijing 100191, Peoples R ChinaBeihang Univ, Sch Math Sci, Beijing 100191, Peoples R China
Xing, Miaomiao
Song, Xinlin
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Beihang Univ, Ctr Soft Matter Phys & Its Applicat, Beijing 100191, Peoples R China
Beihang Univ, Sch Phys, Beijing 100191, Peoples R ChinaBeihang Univ, Sch Math Sci, Beijing 100191, Peoples R China
Song, Xinlin
Yang, Zhuoqin
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Beihang Univ, Sch Math Sci, Beijing 100191, Peoples R ChinaBeihang Univ, Sch Math Sci, Beijing 100191, Peoples R China
Yang, Zhuoqin
Chen, Yong
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Beihang Univ, Ctr Soft Matter Phys & Its Applicat, Beijing 100191, Peoples R ChinaBeihang Univ, Sch Math Sci, Beijing 100191, Peoples R China