Spatiotemporal chaos and localization

Year: 1991

Authors: Giacomelli G., Politi A.

Autors Affiliation: Istituto Nazionale di Ottica, Largo E. Fermi 6, 50125 Firenze, Italy;
INFN, Sezione di Firenze, Italy

Abstract: Nonlinearities in the flow equations of spatially extended systems can give rise to high-dimensional deterministic chaos. This plays the role of an intrinsic source of disorder in tangent space, and can lead to localization phenomena. A transfer matrix approach is applied to 1d chains of coupled maps to unravel the structure of the Lyapunov vectors. Generically, we find localized and fractal <>, the latter ones being characterized by an information dimension strictly bounded between 0 and 1.

Journal/Review: EPL

Volume: 15 (4)      Pages from: 387  to: 392

KeyWords: THEORY AND MODELS OF CHAOTIC SYSTEMS; LOCALIZATION IN DISORDERED STRUCTURES;
DOI: 10.1209/0295-5075/15/4/004

Citations: 33
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