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arxiv: 1606.00173 · v4 · pith:CCFU7FMLnew · submitted 2016-06-01 · 🌊 nlin.CD

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

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keywords synchronizationchaoticconditionalinterpretationlyapunovcommonexponentnoise-induced
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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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