Summary

the 2014 International Symposium on Nonlinear Theory and its Applications

2014

Session Number:D2L-E

Session:

Number:D2L-E2

Bifurcation analysis of coupled Izhikevich neuron model with an external periodic force

Yuu Miino,  Daisuke Ito,  Tetushi Ueta,  

pp.807-810

Publication Date:2014/9/14

Online ISSN:2188-5079

DOI:10.34385/proc.46.D2L-E2

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Summary:
The neuron model is an important when simulating the behavior of the neurons. There are so many models developed (e.g., Fitz-Hugh-Nagumo, Integrated and Fire model, BVP, etc.) and there are also so many studies about these models[1]?[5]. Especially, the model developed by Izhikevich[1] is focused recently because it can decrease numerical costs at simulation and express all patterns of burstings. In addition, the nonlinear phenomena, e.g. bifurcation phenomena or chaotic attractor, occur at this model since this is nonlinear non-autonomous system. In this paper, we focus on the nonlinear phenomena of coupled Izhikevich neuron model with external periodic force.