Chronotopic Lyapunov analysis .2. Toward a unified approach

Year: 1997

Authors: Lepri S., Politi A., Torcini A.

Autors Affiliation: Dipartimento di Fisica, Università di Bologna, 40127 Bologna, Italy;
Istituto Nazionale di Fisica Nucleare, 40127 Bologna, Italy;
Istituto Nazionale di Ottica Applicata, Largo E. Fermi 6, 50125 Firenze, Italy;
Istituto Nazionale di Fisica Nucleare, 50125 Firenze, Italy;
Istituto Nazionale di Fisica della Materia, 50125 Firenze, Italy;
Theoretische Physik, Bergische Universität-Gesamthochshule, 42097 Wuppertal, Germany

Abstract: From the analyticity properties of the equation governing infinitesimal perturbations, it is conjectured that all types of Lyapunov exponents introduced in spatially extended 1D systems can be derived from a single function that we call the entropy potential. The general consequences of its very existence on the Kolmogorov-Sinai entropy of generic spatiotemporal patterns are discussed.

Journal/Review: JOURNAL OF STATISTICAL PHYSICS

Volume: 88 (1-2)      Pages from: 31  to: 45

KeyWords: spatiotemporal chaos; coupled map lattices; entropy potential; comoving Lyapunov exponents
DOI: 10.1007/BF02508463

Citations: 16
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