Transient chaos and critical states in generalized baker maps

Z. Kaufmann, P. Szépfalusy

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Abstract

Generalized multibaker maps are introduced to model dissipative systems which are spatially extended only in certain directions and escape of particles is allowed in other ones. Effects of nonlinearity are investigated by varying a cntrol parameter. Emphasis is put on the appearance of the critical state representing the borderline of transient chaos, where anomalous behavior sets in. The investigations extend to the conditionally invariant and the related natural measures and to transient diffusion in normal and critical states as well. Permanent chaos is also considered as a special case.

Original languageEnglish
Pages (from-to)107-124
Number of pages18
JournalJournal of Statistical Physics
Volume101
Issue number1-2
Publication statusPublished - Oct 1 2000

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Keywords

  • Conditionally invariant measures
  • Critical state
  • Diffusion
  • Natural measures
  • Transient chaos

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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