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IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences 2006 E89-A(4):882-886; doi:10.1093/ietfec/e89-a.4.882
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Copyright © 2006 The Institute of Electronics, Information and Communication Engineers

Special Section on Selected Papers from the 18th Workshop on Circuits and Systems in Karuizawa -- Papers

A Chaotic Burst in a Modified Discrete-Time Neuron Model

Hiroto TANAKA

The author is with Graduate School of Engineering Science, Osaka University, Toyonaka-shi, 560-8531 Japan. E-mail: hiroto{at}sys.es.osaka-u.ac.jp

In this paper, we propose a modified bursting neuron model, which is a natural extension of an original one proposed by the author et al. We will show that chaotic bursts appear in the modified model though there exhibit quasi-periodic bursts in the original one. Moreover, we will show that such chaotic bursts appear by breaking down a pair of invariant closed curves, which is generated by a Hopf bifurcation for a pair of two-periodic points.

Key Words: chaos, burst, Hopf bifurcation, neuron, neural network

Manuscript received June 24, 2005. Manuscript revised September 30, 2005. Final manuscript received November 14, 2005.


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