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

TL;DR

This paper introduces a solvable model for chaotic synchronization, providing a new interpretation of the conditional Lyapunov exponent and its relation to noise-induced synchronization phenomena.

Contribution

It presents the first solvable chaotic synchronization model and offers a novel interpretation of the conditional Lyapunov exponent in this context.

Findings

Established a solvable model for chaotic synchronization

Revealed the relationship between conditional Lyapunov exponent and noise-induced synchronization

Provided a new interpretation of the conditional Lyapunov exponent

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.