A Simple Nonautonomous Chaotic Spiking Circuit with a Refractory Threshold

Yoshifumi KOBAYASHI  Hidehiro NAKANO  Toshimichi SAITO  

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E88-A   No.9   pp.2464-2467
Publication Date: 2005/09/01
Online ISSN: 
DOI: 10.1093/ietfec/e88-a.9.2464
Print ISSN: 0916-8508
Type of Manuscript: LETTER
Category: Nonlinear Problems
chaos,  bifurcation,  spiking neurons,  pulse-coupled neural networks,  

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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.