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Dynamic localization of Lyapunov vectors in space-time chaos

  • We study the dynamics of Lyapunov vectors in various models of one-dimensional distributed systems with spacetime chaos. We demonstrate that the vector corresponding to the maximum exponent is always localized and the localization region wanders irregularly. This localization is explained by interpreting the logarithm of the Lyapunov vector as a roughening interface. We show that for many systems, the `interface' belongs to the Kardar-Parisi- Zhang universality class. Accordingly, we discuss the scaling behaviour of finite-size effects and self-averaging properties of the Lyapunov exponents.

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Author:Arkadij S. Pikovskij, Antonio Politi
Document Type:Article
Year of first Publication:1998
Year of Completion:1998
Release Date:2017/03/24
Source:Nonlinearly. - 11 (1998), S. 1049 - 1062
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie
Institution name at the time of publication:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik