Fractal dimension of spatially extended systems
Anno: 1991
Autori: Torcini A., Politi A., Puccioni GP., D’Alessandro G.
Affiliazione autori: Istituto Nazionale di Ottica,and INFN sezione di Firenze Largo E. Fermi 6, 50125 Firenze, Italy;
Physics Department, University of Strathclyde, Glasgow UK
Abstract: Properties of the invariant measure are numerically investigated in 1D chains of diffusively coupled maps. The coarse-grained fractal dimension is carefully computed in various embedding spaces, observing an extremely slow convergence towards the asymptotic value. This is in contrast with previous simulations, where the analysis of an insufficient number of points led the authors to underestimate the increase of fractal dimension with increasing the dimension of the embedding space. Orthogonal decomposition is also performed confirming that the slow convergence is intrinsically related to local nonlinear properties of the invariant measure. Finally, the Kaplan-Yorke conjecture is tested for short chains, showing that, despite the noninvertibility of the dynamical system, a good agreement is found between Lyapunov dimension and information dimension.
Giornale/Rivista: PHYSICA D-NONLINEAR PHENOMENA
Volume: 53(1) Da Pagina: 85 A: 101
Parole chiavi: STRANGE ATTRACTORS; EMBEDDING DIMENSION; COHERENT STRUCTURES; DYNAMICAL-SYSTEMS; CHAOSDOI: 10.1016/0167-2789(91)90166-7Citazioni: 36dati da “WEB OF SCIENCE” (of Thomson Reuters) aggiornati al: 2024-05-12Riferimenti 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