Fractal dimension of space-time chaos

Year: 1999

Authors: Politi A., Witt A.

Autors Affiliation: Istituto Nazionale di Ottica, Largo E. Fermi 6, 50125 Firenze, Italy;
Istituto Nazionale di Fisica della Materia, Unità di Firenze, 50125 Firenze, Italy;
Nonlinear Dynamics Group, University of Potsdam, PF 161535, 14469 Potsdam, Germany

Abstract: A class of simplified measures is constructed to capture the key features of generic spatiotemporally chaotic systems. A combined analytical and numerical investigation allows us to establish the scaling behavior of the fractal dimension in open systems. Our results improve a previous conjecture and, what is more important, furnish a clear framework for both numerical and analytical checks of the underlying assumptions.

Journal/Review: PHYSICAL REVIEW LETTERS

Volume: 82 (15)      Pages from: 3034  to: 3037

KeyWords: Coupled Map Lattices; Systems
DOI: 10.1103/PhysRevLett.82.3034

Citations: 9
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