Spatiotemporal description of long-delayed systems: Ruling the dynamics
Anno: 2018
Autori: Marino F., Giacomelli G.
Affiliazione autori: CNR–Istituto Nazionale di Ottica, l.go E. Fermi 6, I-50125 Firenze, Italy; CNR–Istituto dei Sistemi Complessi, via Madonna del Piano 10, I-50019 Sesto Fiorentino, Italy.
Abstract: The data generated by long-delayed dynamical systems can be organized in patterns by means of the so-called spatiotemporal representation, uncovering the role of multiple timescales as independent degrees of freedom. However, their identification as equivalent space and time variables does not lead to a correct dynamical rule. We introduce a framework for a proper description of the dynamics in the thermodynamic limit, providing a general avenue for the treatment of long-delayed systems in terms of partial differential equations. Such scheme is generic and does not rely on either the vicinity to bifurcations or on multiple-scale approaches. We discuss the validity of this method and consider the exemplary cases of long-delayed excitable, bistable, and Landau systems.
Giornale/Rivista: PHYSICAL REVIEW E
Volume: 98 (6) Da Pagina: 060201-1 A: 060201-5
Parole chiavi: Dynamical systems, Bistables, Delayed systems, Landau system, Multiple timescales, Multiple-scale approach, Space and timeDOI: 10.1103/PhysRevE.98.060201Citazioni: 7dati da “WEB OF SCIENCE” (of Thomson Reuters) aggiornati al: 2024-04-14Riferimenti tratti da Isi Web of Knowledge: (solo abbonati) Link per visualizzare la scheda su IsiWeb: Clicca quiLink per visualizzare la citazioni su IsiWeb: Clicca qui