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 convection
DOI: 10.1103/PhysRevLett.60.979

Citations: 191
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