Pattern Formation in Systems with Multiple Delayed Feedbacks (Articolo in rivista)

Type
Label
  • Pattern Formation in Systems with Multiple Delayed Feedbacks (Articolo in rivista) (literal)
Anno
  • 2014-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1103/PhysRevLett.112.174103 (literal)
Alternative label
  • Serhiy Yanchuk (1); Giovanni Giacomelli (2) (2014)
    Pattern Formation in Systems with Multiple Delayed Feedbacks
    in Physical review letters
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Serhiy Yanchuk (1); Giovanni Giacomelli (2) (literal)
Pagina inizio
  • 174103 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#url
  • http://link.aps.org/doi/10.1103/PhysRevLett.112.174103 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 112 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#pagineTotali
  • 5 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • 17 (literal)
Note
  • ISI Web of Science (WOS) (literal)
  • Scopu (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • (1) Institute of Mathematics, Humboldt University of Berlin, Unter den Linden 6, 10099 Berlin, Germany (2) CNR-Istituto dei Sistemi Complessi-via Madonna del Piano 10, I-50019 Sesto Fiorentino (FI), Italy (literal)
Titolo
  • Pattern Formation in Systems with Multiple Delayed Feedbacks (literal)
Abstract
  • Dynamical systems with complex delayed interactions arise commonly when propagation times are significant, yielding complicated oscillatory instabilities. In this Letter, we introduce a class of systems with multiple, hierarchically long time delays, and using a suitable space-time representation we uncover features otherwise hidden in their temporal dynamics. The behavior in the case of two delays is shown to \"encode\" two-dimensional spiral defects and defects turbulence. A multiple scale analysis sets the equivalence to a complex Ginzburg-Landau equation, and a novel criterium for the attainment of the long-delay regime is introduced. We also demonstrate this phenomenon for a semiconductor laser with two delayed optical feedbacks. (literal)
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