Towards a statistical-mechanics of spatiotemporal chaos

Year: 1992

Authors: Politi A., Torcini A.

Autors Affiliation: Istituto Nazionale di Ottica, Largo E. Fermi 6, 50125 Firenze, Italy;
Istituto Nazionale di Fisica Nucleare, Sezione di Firenze, Firenze, Italy;
Dipartimento di Fisica, Università di Firenze, Firenze, Italy

Abstract: Coupled Henon maps are introduced to model in a more appropriate way chaos in extended systems. An effective technique allows the extraction of spatiotemporal periodic orbits, which are then used to approximate the invariant measure. A further implementation of the zeta-function formalism reveals the extensive character of entropies and dimensions, and allows the computation of the associated multifractal spectra. Finally, the analysis of short chains indicates the existence of distinct phases in the invariant measure, characterized by a different number of positive Lyapunov exponents.

Journal/Review: PHYSICAL REVIEW LETTERS

Volume: 69 (24)      Pages from: 3421  to: 3424

KeyWords: Unstable Periodic-orbits; Strange Sets; Attractors; Intermittency; Dimensions
DOI: 10.1103/PhysRevLett.69.3421

Citations: 17
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