Chaotic Spike-Train with Line-Like Spectrum

Yusuke MATSUOKA  Tomonari HASEGAWA  Toshimichi SAITO 

Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences  Vol.E92-A  No.4  pp.1142-1147
Publication Date: 2009/04/01
Online ISSN: 1745-1337
Print ISSN: 0916-8508
Type of Manuscript: PAPER
Category: Nonlinear Problems
Keyword: 
chaos,  bifurcation,  switched dynamical systems,  spiking neurons, 

Full Text: PDF(720.1KB)

Summary: 
This paper studies a simple spiking oscillator having piecewise constant vector field. Repeating vibrate-and-fire dynamics, the system exhibits various spike-trains and we pay special attention to chaotic spike-trains having line-like spectrum in distribution of inter-spike intervals. In the parameter space, existence regions of such phenomena can construct infinite window-like structures. The system has piecewise linear trajectory and we can give theoretical evidence for the phenomena. Presenting a simple test circuit, typical phenomena are confirmed experimentally.