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 signals
DOI: 10.1103/PhysRevLett.62.2429

Citations: 12
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