Phase transitions in filtered chaotic signals
Year: 1989
Authors: Paoli P., Politi A., Broggi G., Ravani M., Badii R.
Autors Affiliation: Istituto Nazionale di Ottica, Largo E. Fermi 6, 50125 Firenze, Italy;
Physik-Institut der Universität, Schoënbergasse 9, CH-8001 Zurich, Switzerland;
Department of Chemical Physics, The Weizmann Institute of Science, IL-76100 Rehovot, Israel
Abstract: Detailed statistical analyses of chaotic signals have considered, so far, flows with one expanding and one contracting direction. Here, by studying filtered signals, we provide evidence that the existence of a further stable direction can break the self-similarity of the attractors and generate phase transitions (according to the thermodynamic formalism). In a hyperbolic case the dimension spectrum is computed exactly as a function of the filter cutoff, while in a nonhyperbolic case (NMR laser) the existence of phase transitions is evidenced numerically.
Journal/Review: PHYSICAL REVIEW LETTERS
Volume: 62 (21) Pages from: 2429 to: 2432
KeyWords: chaotic signalsDOI: 10.1103/PhysRevLett.62.2429Citations: 12data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2024-11-10References taken from IsiWeb of Knowledge: (subscribers only)Connecting to view paper tab on IsiWeb: Click hereConnecting to view citations from IsiWeb: Click here