Dynamic localization of Lyapunov vectors in spacetime chaos

A Pikovsky, A Politi

Research output: Contribution to journalArticle

72 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)1049-1062
Number of pages14
JournalNonlinearity
Volume11
Issue number4
Publication statusPublished - Jul 1998

Keywords

  • SPATIOTEMPORAL CHAOS
  • ARNOLD DIFFUSION
  • INFORMATION-FLOW
  • INTERFACES
  • SYSTEMS
  • INTERMITTENCY
  • FLUCTUATIONS
  • MAPS

Cite this

Dynamic localization of Lyapunov vectors in spacetime chaos. / Pikovsky, A ; Politi, A .

In: Nonlinearity, Vol. 11, No. 4, 07.1998, p. 1049-1062.

Research output: Contribution to journalArticle

Pikovsky, A ; Politi, A . / Dynamic localization of Lyapunov vectors in spacetime chaos. In: Nonlinearity. 1998 ; Vol. 11, No. 4. pp. 1049-1062.
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AB - 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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