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arXiv · 1701.01919

Conditional Lyapunov Exponent Criteria in terms of Ergodic Theory

Masaru Shintani·Ken Umeno
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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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Masaru Shintani, Ken Umeno. 2017-01-08. Conditional Lyapunov Exponent Criteria in terms of Ergodic Theory. https://arxiv.org/abs/1701.01919

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