Conditional Lyapunov exponent criteria in terms of ergodic theory | Zendy

Masaru Shintani | Zendy; Ken Umeno | Zendy

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Conditional Lyapunov exponent criteria in terms of ergodic theory

Author(s) -

Masaru Shintani,

Ken Umeno

Publication year - 2017

Publication title -

progress of theoretical and experimental physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.887

H-Index - 53

ISSN - 2050-3911

DOI - 10.1093/ptep/ptx168

Subject(s) - lyapunov exponent , ergodic theory , synchronization (alternating current) , chaotic , exponent , physics , statistical physics , mathematics , stationary ergodic process , synchronization of chaos , pure mathematics , control theory (sociology) , topology (electrical circuits) , computer science , combinatorics , nonlinear system , quantum mechanics , artificial intelligence , invariant measure , linguistics , philosophy , control (management)

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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