English

Solvable Chaotic Synchronization -A New Interpretation of Common Noise-induced Synchronization with Conditional Lyapunov Exponents-

Chaotic Dynamics 2016-07-08 v4

Abstract

We show the first solvable chaotic synchronization model of unidirectionally coupled dynamical systems. We establish a new interpretation of the conditional Lyapunov exponent that characterizes chaotic synchronization completely. Moreover, we newly show how the conditional Lyapunov exponent relates to common noise-induced synchronization phenomena by the new interpretation.

Keywords

Cite

@article{arxiv.1606.00173,
  title  = {Solvable Chaotic Synchronization -A New Interpretation of Common Noise-induced Synchronization with Conditional Lyapunov Exponents-},
  author = {Masaru Shintani and Ken Umeno},
  journal= {arXiv preprint arXiv:1606.00173},
  year   = {2016}
}

Comments

5 pages,4 figures