Summary
International Symposium on Nonlinear Theory and Its Applications
2022
Session Number:A4L-C
Session:
Number:A4L-C-01
Chaotic Synchronization of Randomly Coupled Chaotic Systems with Many Degrees of Freedom
Ken Umeno,
pp.121-121
Publication Date:12/12/2022
Online ISSN:2188-5079
Summary:
A model of randomly coupled chaotic systems with many degrees of freedom is newly investigated. By using ergodic theory and the central limit theorem, we discovered that chaotic synchronization phenomena exists even in the infinite limit. Evidence of this phenomenon and some phase transition between chaotic synchronization and desynchronization is also provided as well as the theoretical and analytical foundation in terms of conditional Lyapunov exponent using ergodic theory.