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The Mechanism of Bifurcation-Dependent Coherence Resonance of Morris-Lecar Neuron Model

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Abstract

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.

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© 2008 Springer-Verlag Berlin Heidelberg

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Zhang, G. et al. (2008). The Mechanism of Bifurcation-Dependent Coherence Resonance of Morris-Lecar Neuron Model. In: Wang, R., Shen, E., Gu, F. (eds) Advances in Cognitive Neurodynamics ICCN 2007. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-8387-7_17

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