Characterizing dynamics with covariant Lyapunov vectors

F. Ginelli, P. Poggi, A. Turchi, H. Chate, R. Livi, A. Politi

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Abstract

A general method to determine covariant Lyapunov vectors in both discrete- and continuous-time dynamical systems is introduced. This allows us to address fundamental questions such as the degree of hyperbolicity, which can be quantified in terms of the transversality of these intrinsic vectors. For spatially extended systems, the covariant Lyapunov vectors have localization properties and spatial Fourier spectra qualitatively different from those composing the orthonormalized basis obtained in the standard procedure used to calculate the Lyapunov exponents.

Original languageEnglish
Article number130601
Number of pages4
JournalPhysical Review Letters
Volume99
Issue number13
DOIs
Publication statusPublished - 24 Sep 2007

Keywords

  • coupled map lattices
  • systems
  • exponents
  • chaos
  • modes

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