Critical exponent for gap filling at crisis

K G Szabo, Y C Lai, T Tel, C Grebogi

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Abstract

A crisis in chaotic dynamical systems is characterized by the conversion of a nonattracting, Cantor-set-like chaotic saddle into a chaotic attractor. The grape in between various pieces of the chaotic saddle are densely filled after the crisis, We give a quantitative scaling theory for the growth of the topological entropy for a major class of crises, the interior crisis. The theory is confirmed by numerical experiments.

Original languageEnglish
Pages (from-to)3102-3105
Number of pages4
JournalPhysical Review Letters
Volume77
Issue number15
DOIs
Publication statusPublished - 7 Oct 1996

Keywords

  • transient chaos
  • experimental confirmation
  • induced intermittency
  • attractor
  • laser
  • oscillator
  • circuit
  • noise

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