Emergence of chaotic behaviour in linearly stable systems
Anno: 2002
Autori: Ginelli F., Livi R., Politi A.
Affiliazione autori: Istituto Nazionale di Ottica Applicata, Largo E. Fermi 6, 50125 Firenze, Italy;
Dipartimento di Fisica, Università di Firenze, Largo E. Fermi 2, 50125 Firenze, Italy;
Istituto Nazionale di Fisica della Materia, Unità di Firenze, Largo E. Fermi 2, 50125 Firenze
Abstract: Strong nonlinear effects combined with diffusive coupling may give rise to unpredictable evolution in spatially extended deterministic dynamical systems even in the presence of a fully negative spectrum of Lyapunov exponents. This regime, denoted as ’stable chaos’, has been so far mainly characterized by means of numerical studies. In this paper we investigate the mechanisms that are at the basis of this form of unpredictable evolution generated by a nonlinear information flow through the boundaries. In order to clarify how linear stability can coexist with nonlinear instability, we construct a suitable stochastic model. In the absence of spatial coupling, the model does not reveal the existence of any self-sustained chaotic phase. Nevertheless, already this simple regime reveals peculiar differences between the behaviour of finite-size and that of infinitesimal perturbations. A mean-field analysis of the spatially extended case provides a semi-quantitative description of the onset of irregular behaviour. Possible relations with directed percolation as a synchronization transition are also briefly discussed.
Giornale/Rivista: JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
Volume: 35 (3) Da Pagina: 499 A: 516
Parole chiavi: Coupled Map Lattices; Complex Interfaces; Lyapunov Exponent; AttractorsDOI: 10.1088/0305-4470/35/3/304Citazioni: 22dati da “WEB OF SCIENCE” (of Thomson Reuters) aggiornati al: 2025-05-18Riferimenti 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
