Topological scaling and gap filling at crisis

K G Szabo, Y C Lai, T Tel, C Grebogi, Ying-Cheng Lai

Research output: Contribution to journalArticle

33 Citations (Scopus)

Abstract

Scaling laws associated with an interior crisis of chaotic dynamical systems are studied. We argue that open gaps of the chaotic set become densely filled at the crisis due to the sudden appearance of unstable periodic orbits with extremely long periods. We formulate a scaling theory for the associated growth of the topological entropy.

Original languageEnglish
Pages (from-to)5019-5032
Number of pages14
JournalPhysical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume61
Issue number5
Publication statusPublished - May 2000

Keywords

  • NOISE-INDUCED CRISES
  • Q-PHASE TRANSITIONS
  • CHAOTIC ATTRACTORS
  • TRANSIENT CHAOS
  • INDUCED INTERMITTENCY
  • CRITICAL EXPONENT
  • EXPERIMENTAL CONFIRMATION
  • STRANGE ATTRACTORS
  • DYNAMICS
  • BEHAVIOR

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