Summary
International Symposium on Nonlinear Theory and its Applications
2009
Session Number:A4L-B
Session:
Number:A4L-B4
Synthesis and analysis of a pulse-coupled spiking oscillator with simple structure
Tadashi Tsubone, Yasuhiro Wada,
pp.-
Publication Date:2009/10/18
Online ISSN:2188-5079
Summary:
In this paper, we propose a simple spiking oscillator which consists of 2-D linear sub-circuit, 1-D linear sub-circuit and instantaneous switchings. The spiking oscillator behaves chaotic motions and generates various spike trains. We provide the rigorous analysis of the nonlinear phenomena including hyperchaos generation. The dynamics of the system is governed by 2-D piecewise linear return map, therefore, the rigorous analysis can be performed. We provide the 2-D return map to consider parameter conditions for generation of various spike trains and the stability analysis of the observed phenomena.