2016•arXiv (Cornell University)Open access

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

Masaru Shintani, Ken Umeno

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.

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Key concepts: Lyapunov exponent, Synchronization (alternating current), Synchronization of chaos, Interpretation (philosophy), Chaotic, Noise (video), Mathematics, Statistical physics