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Title: Conditional Lyapunov exponent criteria in terms of ergodic theory
Authors: Shintani, Masaru
Umeno, Ken  KAKEN_id  orcid https://orcid.org/0000-0002-9162-1261 (unconfirmed)
Author's alias: 新谷, 健
梅野, 健
Issue Date: Jan-2018
Publisher: Oxford University Press (OUP)
Journal title: Progress of Theoretical and Experimental Physics
Volume: 2018
Issue: 1
Thesis number: 013A01
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.
Rights: © The Author(s) 2018. Published by Oxford University Press on behalf of the Physical Society of Japan. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited.
URI: http://hdl.handle.net/2433/252957
DOI(Published Version): 10.1093/ptep/ptx168
Appears in Collections:Journal Articles

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