Dynamical 'strangeness' at the edge of chaos

A Politi, R Badii

Research output: Contribution to journalLetter

3 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)L627-L633
Number of pages7
JournalJournal of Physics A: Mathematical and General
Volume30
Issue number18
Publication statusPublished - 21 Sep 1997

Keywords

  • SYSTEMS
  • UNPREDICTABILITY
  • UNDECIDABILITY
  • ATTRACTORS

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