Chaotic states induced by resetting process in Izhikevich neuron model

• Autorzy: Nobukawa S. , Nishimura H. , Yamanishi T. , Liu J.-Q.

Identyfikatory

DOI

10.1515/jaiscr-2015-0023

• Języki publikacji: EN

Abstrakty

EN

Several hybrid neuron models, which combine continuous spike-generation mechanisms and discontinuous resetting process after spiking, have been proposed as a simple transition scheme for membrane potential between spike and hyperpolarization. As one of the hybrid spiking neuron models, Izhikevich neuron model can reproduce major spike patterns observed in the cerebral cortex only by tuning a few parameters and also exhibit chaotic states in specific conditions. However, there are a few studies concerning the chaotic states over a large range of parameters due to the difficulty of dealing with the state dependent jump on the resetting process in this model. In this study, we examine the dependence of the system behavior on the resetting parameters by using Lyapunov exponent with saltation matrix and Poincar´e section methods, and classify the routes to chaos.

Słowa kluczowe

EN

hybrid neuron model; Izhikevich neuron model; chaotic states; Poincar´e section method; Lyapunov method

PL

hybrydowy model neuronowy; model neuronu Izhikevicha; stany chaotyczne; metoda przekroju Poincarego; metoda Lapunowa

• Wydawca: University of Social Sciences
• Czasopismo: Journal of Artificial Intelligence and Soft Computing Research
• Rocznik: 2015
• Tom: Vol. 5, No. 2
• Strony: 109--119
• Opis fizyczny: Bibliogr. 24 poz., rys.

Twórcy

autor

Nobukawa S.

• Department of Management Information Science, Fukui University of Technology, 3-6-1 Gakuen, Fukui, Fukui, 910-8505 Japan

autor

Nishimura H.

• Graduate School of Applied Informatics, University of Hyogo, 7-1-28 Chuo-ku, Kobe, Hyogo, 650-8588 Japan

autor

Yamanishi T.

• Department of Management Information Science, Fukui University of Technology, 3-6-1 Gakuen, Fukui, Fukui, 910-8505 Japan

autor

Liu J.-Q.

• Center for Information and Neural Networks, National Institute of Information and Communications Technology, 588-2 Iwaoka, Iwaoka-cho, Nishi-ku, Kobe, Hyogo, 651-2492 Japan

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