Chronotopic Lyapunov analysis .1. A detailed characterization of 1D systems

Year: 1996

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

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

Abstract: Instabilities in 1D spatially extended systems are studied with the aid of both temporal and spatial Lyapunov exponents. A suitable representation of the spectra allows a compact description of all the possible disturbances in tangent space. The analysis is carried out for chaotic and periodic spatiotemporal patterns. Singularities of the spectra and localization properties of the associated Lyapunov vectors are discussed.

Journal/Review: JOURNAL OF STATISTICAL PHYSICS

Volume: 82 (5-6)      Pages from: 1429  to: 1452

KeyWords: high-dimensional chaos; spatiotemporal instabilities; temporal and spatial Lyapunov spectra; coupled map lattices; localization
DOI: 10.1007/BF02183390

Citations: 30
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