Summary
2011 International Symposium on Nonlinear Theory and Its Applications
2011
Session Number:A4L-A
Session:
Number:A4L-A2
Characterizing the phase synchronization transition of chaotic oscillators
Katsuya Ouchi, Takehiko Horita,
pp.240-243
Publication Date:2011/9/4
Online ISSN:2188-5079
Summary:
The chaotic phase synchronization transition is studied in connection with the zero Lyapunov exponent. We propose a conjecture that it is associated with a switching of the maximal finite time zero Lyapunov exponent, which is introduced in the framework of large deviation analysis. A noisy sine circle map is investigated to introduce the conjecture and it is tested in an unidirectionally coupled Rossler system by using the covariant Lyapunov vector associated with the zero Lyapunov exponent.