Relationship between delayed and spatially extended dynamical systems

Anno: 1996

Autori: Giacomelli G., Politi A.

Affiliazione autori: Istituto Nazionale di Ottica, Largo E. Fermi 6, 50125 Firenze, Italy

Abstract: The interpretation of delayed dynamical systems (DDS) in terms of a suitable spatiotemporal dynamics is put on a rigorous ground by deriving amplitude equations in the vicinity of a Hopf bifurcation. We show that comoving Lyapunov exponents can be defined and computed in a DDS. From the propagation of localized infinitesimal disturbances in DDS, we show the existence of convective type instabilities. Moreover, a widely studied class of DDS is mapped onto an evolution rule fur a spatial system with drift and diffusion.

Giornale/Rivista: PHYSICAL REVIEW LETTERS

Volume: 76 (15)      Da Pagina: 2686  A: 2689

Parole chiavi: PATTERN-FORMATION; INTERMITTENCY;
DOI: 10.1103/PhysRevLett.76.2686

Citazioni: 173
dati da “WEB OF SCIENCE” (of Thomson Reuters) aggiornati al: 2025-05-18
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