Conditional Lyapunov Exponent Criteria in terms of Ergodic Theory

2017/01/08 by Shintani, Masaru, Umeno, Ken
#Chaotic Dynamics (nlin.CD) #FOS: Physical sciences

paper · doi:10.48550/arxiv.1701.01919

Abstract

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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