Dynamic localization of Lyapunov vectors in spacetime chaos

Year: 1998

Authors: Pikovsky A., Politi A.

Autors Affiliation: Department of Physics, University of Potsdam, Am Neuen Palais PF 601553, 14415 Potsdam, Germany;
Istituto Nazionale di Ottica, Largo E. Fermi 6, 50125 Firenze, Italy

Abstract: 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.

Journal/Review: NONLINEARITY

Volume: 11 (4)      Pages from: 1049  to: 1062

KeyWords: Spatiotemporal Chaos; Arnold Diffusion; Information-flow; Interfaces; Systems; Intermittency; Fluctuations; Maps
DOI: 10.1088/0951-7715/11/4/016

Citations: 75
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