Dimension increase in filtered chaotic signals
Anno: 1988
Autori: Badii R., Broggi G., Derighetti B., Ravani M., Ciliberto S., Politi A., Rubio M. A.
Affiliazione autori: 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.
Giornale/Rivista: PHYSICAL REVIEW LETTERS
Volume: 60 (11) Da Pagina: 979 A: 982
Parole chiavi: chaotic signals.; Lyapunov dimension; Rayleigh-Bénard convectionDOI: 10.1103/PhysRevLett.60.979Citazioni: 192dati da “WEB OF SCIENCE” (of Thomson Reuters) aggiornati al: 2024-05-12Riferimenti tratti da Isi Web of Knowledge: (solo abbonati) Link per visualizzare la scheda su IsiWeb: Clicca quiLink per visualizzare la citazioni su IsiWeb: Clicca qui