Large-Deviation Approach to Space-Time Chaos (Articolo in rivista)

Type
Label
  • Large-Deviation Approach to Space-Time Chaos (Articolo in rivista) (literal)
Anno
  • 2011-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1103/PhysRevLett.107.114101 (literal)
Alternative label
  • Pavel V. Kuptsov (1); Antonio Politi (2,3 ) (2011)
    Large-Deviation Approach to Space-Time Chaos
    in Physical review letters (Print)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Pavel V. Kuptsov (1); Antonio Politi (2,3 ) (literal)
Pagina inizio
  • 114101 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#url
  • http://prl.aps.org/abstract/PRL/v107/i11/e114101 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 107 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#pagineTotali
  • 5 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • 11 (literal)
Note
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • 1) Department of Technical Cybernetics and Informatics, Saratov State Technical University, Politekhnicheskaya 77, Saratov 410054, Russia 2) CNR - Istituto dei Sistemi Complessi, via Madonna del Piano 10, I-50019 Sesto Fiorentino, Italy 3) Institute for Complex Systems and Mathematical Biology, SUPA, University of Aberdeen, Aberdeen AB24 3UE, United Kingdom (literal)
Titolo
  • Large-Deviation Approach to Space-Time Chaos (literal)
Abstract
  • In this Letter, we show that the analysis of Lyapunov-exponent fluctuations contributes to deepen our understanding of high-dimensional chaos. This is achieved by introducing a Gaussian approximation for the large-deviation function that quantifies the fluctuation probability. More precisely, a diffusion matrix D (a dynamical invariant itself) is measured and analyzed in terms of its principal components. The application of this method to three (conservative, as well as dissipative) models allows (i) quantifying the strength of the effective interactions among the different degrees of freedom, (ii) unveiling microscopic constraints such as those associated to a symplectic structure, and (iii) checking the hyperbolicity of the dynamics. (literal)
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