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• W2018705941 abstract "The nonhyperbolic structure of synchronization dynamics is investigated in this work. We argue analytically and confirm numerically that the chaotic dynamics on the synchronization manifold exhibits an unstable dimension variability, which is an extreme form of nonhyperbolicity. We analyze the dynamics in the synchronization manifold and in its transversal direction, where a tonguelike structure is formed, through a system of two coupled chaotic maps. The unstable dimension variability is revealed in the statistical distribution of the finite-time transversal Lyapunov exponent, having both negative and positive values. We also point out that unstable dimension variability is a cause of severe modeling difficulty." @default.
• W2018705941 created "2016-06-24" @default.
• W2018705941 creator A5033185350 @default.
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• W2018705941 date "2000-07-01" @default.
• W2018705941 modified "2023-09-27" @default.
• W2018705941 title "Unstable dimension variability and synchronization of chaotic systems" @default.
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• W2018705941 doi "https://doi.org/10.1103/physreve.62.462" @default.
• W2018705941 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/11088481" @default.
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