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 StatesDOI: 10.1088/0305-4470/28/16/011ImpactFactor: 1.577Citations: 41data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2024-11-24References taken from IsiWeb of Knowledge: (subscribers only)Connecting to view paper tab on IsiWeb: Click hereConnecting to view citations from IsiWeb: Click here