Characterizing the response of chaotic systems (Articolo in rivista)

Type
Label
  • Characterizing the response of chaotic systems (Articolo in rivista) (literal)
Anno
  • 2010-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1103/PhysRevLett.104.194101 (literal)
Alternative label
  • Giacomelli G. (1); Barland S. (2); Giudici M. (2); Politi A. (1); (2010)
    Characterizing the response of chaotic systems
    in Physical review letters (Print)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Giacomelli G. (1); Barland S. (2); Giudici M. (2); Politi A. (1); (literal)
Pagina inizio
  • 194101 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 104 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#note
  • fasc. (19). American Physical Society. (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#pagineTotali
  • 4 (literal)
Note
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • 1) Istituto dei Sistemi Complessi, Consiglio Nazionale delle Ricerche, via Madonna del Piano 10, I-50019 Sesto Fiorentino, Italy; 2) Université de Nice-Sophia Antipolis, Centre National de la Recherche Scientifique, Institut Non Linéaire de Nice, 1361 route des Lucioles, F-06560 Valbonne, France; (literal)
Titolo
  • Characterizing the response of chaotic systems (literal)
Abstract
  • We characterize the response of a chaotic system by investigating ensembles of, rather than single, trajectories. Time-periodic stimulations are experimentally and numerically investigated. This approach allows detecting and characterizing a broad class of coherent phenomena that go beyond generalized and phase synchronization. In particular, we find that a large average response is not necessarily related to the presence of standard forms of synchronization. Moreover, we study the stability of the response, by introducing an effective method to determine the largest nonzero eigenvalue -?1 of the corresponding Liouville-type operator, without the need of directly simulating it. The exponent ?1 is a dynamical invariant, which complements the standard characterization provided by the Lyapunov exponents. (literal)
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