Microscopic mechanism for self-organized quasiperiodicity in random networks of nonlinear oscillators (Articolo in rivista)

Type
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  • Microscopic mechanism for self-organized quasiperiodicity in random networks of nonlinear oscillators (Articolo in rivista) (literal)
Anno
  • 2014-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1103/PhysRevE.90.042918 (literal)
Alternative label
  • Burioni R.; Di Santo S.; Di Volo M.; Vezzani A. (2014)
    Microscopic mechanism for self-organized quasiperiodicity in random networks of nonlinear oscillators
    in Physical review. E, Statistical, nonlinear and soft matter physics (Online)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Burioni R.; Di Santo S.; Di Volo M.; Vezzani A. (literal)
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  • http://www.scopus.com/inward/record.url?eid=2-s2.0-84908431842&partnerID=q2rCbXpz (literal)
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  • 90 (literal)
Rivista
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  • 4 (literal)
Note
  • Scopu (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Dipartimento di Fisica e Scienza della Terra, Università di Parma, via G. P. Usberti, 7/A, Parma, 43124, Italy; INFN, Gruppo Collegato di Parma, via G. P. Usberti, 7/A, Parma, 43124, Italy; Centro Interdipartimentale per Lo Studio Delle Dinamiche Complesse, via Sansone, 1, Sesto Fiorentino, 50019, Italy; S3, CNR Istituto di Nanoscienze, Via Campi, 213A, Modena, 41125, Italy (literal)
Titolo
  • Microscopic mechanism for self-organized quasiperiodicity in random networks of nonlinear oscillators (literal)
Abstract
  • Self-organized quasiperiodicity is one of the most puzzling dynamical phases observed in systems of nonlinear coupled oscillators. The single dynamical units are not locked to the periodic mean field they produce, but they still feature a coherent behavior, through an unexplained complex form of correlation. We consider a class of leaky integrate-and-fire oscillators on random sparse and massive networks with dynamical synapses, featuring self-organized quasiperiodicity, and we show how complex collective oscillations arise from constructive interference of microscopic dynamics. In particular, we find a simple quantitative relationship between two relevant microscopic dynamical time scales and the macroscopic time scale of the global signal. We show that the proposed relation is a general property of collective oscillations, common to all the partially synchronous dynamical phases analyzed. We argue that an analogous mechanism could be at the origin of similar network dynamics. (literal)
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