Dimension function and phase transition-like behavior in strange attractors

Anno: 1987

Autori: Badii R., Politi A.

Affiliazione autori: Institut für Theoretische Physik, Schönberggasse 9, 8001 Zurich, Switzerland
IBM Research Division, Zurich Research Laboratory, Säumerstrasse 4, 8803 Rüschlikon, Switzerland
Istituto Nazionale di Ottica, Largo E. Fermi 6, 50125 Firenze, Italy

Abstract: Recently introduced conservation laws for volume expansion rates are used as a tool to investigate changes in the geometric and dynamical structure of strange attractors occurring, e.g., upon variation of a parameter. The appearance of edges in the Renyi dimension function Dq and metric entropy Kq is an indication of such transitions. A way to classify them by introducing two new indices jq and jq+ is discussed. Moreover, these critical points can be analyzed in terms of phase transitions, in the framework of the thermodynamic formalism for dynamical systems.

Giornale/Rivista: PHYSICA SCRIPTA

Volume: 35      Da Pagina: 243  A: 246

Parole chiavi: dynamical systems
DOI: 10.1088/0031-8949/35/3/005

Citazioni: 29
dati da “WEB OF SCIENCE” (of Thomson Reuters) aggiornati al: 2025-05-18
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