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IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences 2005 E88-A(9):2464-2467; doi:10.1093/ietfec/e88-a.9.2464
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Copyright © 2005 The Institute of Electronics, Information and Communication Engineers

Regular Section -- Letters -- Nonlinear Problems

A Simple Nonautonomous Chaotic Spiking Circuit with a Refractory Threshold

Yoshifumi KOBAYASHI1, Hidehiro NAKANO2 and Toshimichi SAITO1

1 The authors are with Hosei University, Koganei-shi, 184-8584 Japan. E-mail: tsaito{at}k.hosei.ac.jp, 2 The author is with Musashi Instisute of Technology, Tokyo, 158-8557 Japan.

This letter studies a simple nonautonomous chaotic circuit constructed by adding an impulsive switch to the RCL circuit. The switch operation depends on time and on state variable through a refractory threshold. The circuit exhibits various chaotic attractors, periodic attractors and related bifurcation phenomena. The dynamics can be analyzed using 1-D return map focusing on the time-dependent switching moments. Using a simple test circuit model typical phenomena are verified in PSPICE simulations.

Key Words: chaos, bifurcation, spiking neurons, pulse-coupled neural networks

Manuscript received March 11, 2005. Manuscript revised June 12, 2005. Final manuscript received June 16, 2005.


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