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The conditional Lyapunov exponent is defined for investigating chaoticsynchronization, in particular complete synchronization and generalizedsynchronization. We find that the conditional Lyapunov exponent is expressed asa formula in terms of ergodic theory. Dealing with this formula, we find whatfactors characterize the conditional Lyapunov exponent in chaotic systems.

Conditional Lyapunov Exponent Criteria in terms of Ergodic Theory