Summary
International Symposium on Nonlinear Theory and Its Applications
2016
Session Number:A4L-G
Session:
Number:A4L-G-4
Stability Analysis of Phase-Inversionwaves in Coupled Piecewise-Constant Oscillators as a Ladder
Ryohei Hirota, Tadashi Tsubone,
pp.-
Publication Date:2016/11/27
Online ISSN:2188-5079
Summary:
In this study, we consider phase-inversion waves in coupled piecewise-constant oscillators as a ladder. A nonlinear phenomenon called phase-inversion wave is a kind of wave propagation phenomena, and the phase states of the waves are propagated to next oscillator in succession. In this paper, we analyzed the stability of the phase-inversion waves using the largest Lyapunov exponent. As a result, we found out that phase-inversion waves is unstable and chaos, because the largest Lyapunov exponent is positive value.