Summary
International Symposium on Nonlinear Theory and Its Applications
2016
Session Number:A4L-B
Session:
Number:A4L-B-5
A Variety of Super-Stable Periodic Orbits in a Simple Dynamical System with Integrate-and-Fire Switching
Risa Takahashi, Toshimichi Saito,
pp.-
Publication Date:2016/11/27
Online ISSN:2188-5079
Summary:
This paper studies dynamics of a simple switched dynamical system. Repeating integrate-and-fire behavior between a constant threshold and piecewise linear periodic base signal, the system can exhibit a variety of chaotic and super-stable periodic orbits. The dynamics is simplified into a piecewise linear return map. Using the return map, parameter conditions of various super-stable periodic orbits are analyzed precisely.