Summary
International Symposium on Nonlinear Theory and its Applications
2010
Session Number:C2L-C
Session:
Number:C2L-C4
Synthesis of a spiking oscillator with a desired inter-spike-interval density
Tadashi Tsubone,
pp.557-560
Publication Date:2010/9/5
Online ISSN:2188-5079
Summary:
In this paper, we consider a design problem of a simple spiking oscillator with a desired inter-spike-interval (ISI) density. Our approach to the problem is based on a mapping procedure. The spiking oscillator behaves chaotic motions and generates various spike trains. It is important to study the relationship between a dynamic property of the oscillator and a static property on ISI density not only for scientific investigations, but also for engineering developments. We provide a simple spiking oscillator with piecewise constant vector fields. The dynamics of the system is governed by 1-D piecewise linear return map, therefore the rigorous analysis can be performed. We show an example of spiking oscillators with a conditional ISI density, its synthesis strategy is based on a probability density function of the 1-D return map.