Error propagation in extended chaotic systems

Year: 1995

Authors: Torcini A., Grassberger P., Politi A.

Autors Affiliation: Istituto Nazionale di Ottica and INFN, Largo E. Fermi 6, 50125 Firenze, Italy; Theoretische Physik, Bergische Universität-Gesamthochschule Wuppertal, 42097 Wuppertal, Germany

Abstract: A strong analogy is found between the evolution of localized disturbances in extended chaotic systems and the propagation of Fronts separating different phases. A condition for the evolution to be controlled by nonlinear mechanisms is derived on the basis of this relationship. An approximate expression for the nonlinear velocity is also determined by extending the concept of the Lyapunov exponent to a growth rate of finite perturbations.

Journal/Review: JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL

Volume: 28 (16)      Pages from: 4533  to: 4541

KeyWords: Marginal Stability; Front Propagation; Unstable States
DOI: 10.1088/0305-4470/28/16/011

Citations: 41
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