Periodic-Like Trajectories in Master-Slave Coupled Piecewise Constant Spiking Oscillators

Yusuke MATSUOKA  

Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E99-A   No.11   pp.2049-2059
Publication Date: 2016/11/01
Online ISSN: 1745-1337
DOI: 10.1587/transfun.E99.A.2049
Type of Manuscript: PAPER
Category: Nonlinear Problems
Keyword: 
pulse-coupled system,  piecewise constant oscillator,  chaotic spike input,  master-slave coupling,  

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Summary: 
This paper considers the behavior of a master-slave system of two coupled piecewise constant spiking oscillators (PWCSOs). The master of this system exhibits chaos and outputs a chaotic sequence of spikes, which are used as input to the slave. The slave exhibits a periodic-like trajectory (PLT) that is chaotic but that appears to be periodic in the phase plane. We theoretically investigate the generating region of the PLT in the parameter space. Using a test circuit, we confirm the typical phenomena of this coupled system.