Estimating the number of degrees of freedom in spatially extended systems
Year: 1991
Authors: Ciliberto S., Nicolaenko B.
Autors Affiliation: Istituto Nazionale di Ottica, Largo E. Fermi 6, 50125 Firenze, Italy; Center of Non-Linear Studies, Los Alamos National Laboratory, USA; Arizona State University, Usa
Abstract: Karhunen-Loeve decomposition has been used in order to compute the number of the fundamental degrees of freedom in a complex spatiotemporal dynamics. The method has been applied on experimental and numerical data. In both cases the number of degrees of freedom found by this method is very close to the fractal dimension of the attractor or the Lyapunov dimension.
Journal/Review: EUROPHYSICS LETTERS
Volume: 14 (4) Pages from: 303 to: 308
KeyWords: Coupled Map Lattices; Coherent Structures; Temporal Intermittency; Strange Attractors; Wall Region; DynamicsDOI: 10.1209/0295-5075/14/4/003ImpactFactor: 2.229Citations: 36data 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