Dynamical ’strangeness’ at the edge of chaos

Anno: 1997

Autori: Politi A., Badii R.

Affiliazione autori: Istituto Nazionale di Ottica, Largo E. Fermi 6, 50125 Firenze, Italy;
Paul Scherrer Institute, 5232 Villigen, Switzerland

Abstract: A recently introduced class of dynamical systems, the generalized shifts, is shown to exhibit both topological chaos, while being metrically ordered, and a phase transition in the framework of the thermodynamic formalism when this is applied to its entropic properties. Therefore, it provides a further example of complex behaviour emerging at the border between order and chaos. Its anomalous dynamical properties are the result of a strong nonhyperbolicity which,in turn, is a manifestation of uncomputability in generalized shifts.

Giornale/Rivista: JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL

Volume: 30 (18)      Da Pagina: L627  A: L633

Parole chiavi: SYSTEMS; UNPREDICTABILITY; UNDECIDABILITY; ATTRACTORS;
DOI: 10.1088/0305-4470/30/18/004

Citazioni: 3
dati da “WEB OF SCIENCE” (of Thomson Reuters) aggiornati al: 2025-05-18
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