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arxiv: 1701.01919 · v11 · pith:TKT44STNnew · submitted 2017-01-08 · 🌊 nlin.CD

Conditional Lyapunov Exponent Criteria in terms of Ergodic Theory

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keywords conditionalexponentlyapunovsynchronizationchaoticergodicfindformula
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The conditional Lyapunov exponent is defined for investigating chaotic synchronization, in particular complete synchronization and generalized synchronization. We find that the conditional Lyapunov exponent is expressed as a formula in terms of ergodic theory. Dealing with this formula, we find what factors characterize the conditional Lyapunov exponent in chaotic systems.

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