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: EPL

Volume: 14 (4)      Pages from: 303  to: 308

KeyWords: complex spatiotemporal dynamics
DOI: 10.1209/0295-5075/14/4/003

Citations: 36
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