Covariant Lyapunov vectors (Articolo in rivista)

Type
Label
  • Covariant Lyapunov vectors (Articolo in rivista) (literal)
Anno
  • 2013-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1088/1751-8113/46/25/254005 (literal)
Alternative label
  • Francesco Ginelli (1); Hugues Chaté (2); Roberto Livi (3,4); Antonio Politi (1) (2013)
    Covariant Lyapunov vectors
    in Journal of physics. A, Mathematical and theoretical (Print)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Francesco Ginelli (1); Hugues Chaté (2); Roberto Livi (3,4); Antonio Politi (1) (literal)
Pagina inizio
  • art_n_254005 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#url
  • http://iopscience.iop.org/1751-8121/46/25/254005 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 46 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#pagineTotali
  • 25 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • 25 (literal)
Note
  • Scopu (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • (1) SUPA, Institute for Complex Systems and Mathematical Biology, King's College, University of Aberdeen, Aberdeen AB24 3UE, UK (2) Service de Physique de l'État Condensé, CEA-Saclay, F-91191 Gif-sur-Yvette, France (3) Dipartimento di Fisica, INFN and CSDC, Universitá di Firenze, via G Sansone 1, I-50019 Sesto Fiorentino, Italy (4) ISC-CNR, via Madonna del Piano 10, I-50019 Sesto Fiorentino, Italy (literal)
Titolo
  • Covariant Lyapunov vectors (literal)
Abstract
  • Recent years have witnessed a growing interest in covariant Lyapunov vectors (CLVs) which span local intrinsic directions in the phase space of chaotic systems. Here, we review the basic results of ergodic theory, with a specific reference to the implications of Oseledets' theorem for the properties of the CLVs. We then present a detailed description of a 'dynamical' algorithm to compute the CLVs and show that it generically converges exponentially in time. We also discuss its numerical performance and compare it with other algorithms presented in the literature. We finally illustrate how CLVs can be used to quantify deviations from hyperbolicity with reference to a dissipative system (a chain of Hénon maps) and a Hamiltonian model (a Fermi-Pasta-Ulam chain). This article is part of a special issue of Journal of Physics A: Mathematical and Theoretical devoted to 'Lyapunov analysis: from dynamical systems theory to applications'. (literal)
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