Dimension increase in filtered chaotic signals
Year: 1988
Authors: Badii R., Broggi G., Derighetti B., Ravani M., Ciliberto S., Politi A., Rubio M. A.
Autors Affiliation: Physik-Institut der Universität,p CH-8001 Zurich, Switzerland;
Istituto Nazionale di Ottica, Largo E. Fermi 6, I-50125 Florence, Italy;
Departamento de Fisica, Escuela Técnica Superior de Architectura, E-28040 Madrid, Spain
Abstract: An increase in fractal dimension is shown to occur in filtered chaotic signals. The dependence of the Lyapunov dimension on the filter parameters is used to predict the behavior of the information dimension which is directly evaluated for two experimental systems: the NMR laser and Rayleigh-Bénard convection. Good quantitative agreement with the theoretical predictions is found. The understanding of the role of filtering not only clarifies aspects relevant in the calculation of fractal dimensions, but also yields an indirect but precise way of evaluating Lyapunov exponents.
Journal/Review: PHYSICAL REVIEW LETTERS
Volume: 60 (11) Pages from: 979 to: 982
KeyWords: chaotic signals.; Lyapunov dimension; Rayleigh-Bénard convectionDOI: 10.1103/PhysRevLett.60.979Citations: 192data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2024-10-27References taken from IsiWeb of Knowledge: (subscribers only)Connecting to view paper tab on IsiWeb: Click hereConnecting to view citations from IsiWeb: Click here