Topological scaling and gap filling at crisis

K. Gábor Szabó, Ying Cheng Lai, Tamás Tél, Celso Grebogi

Research output: Contribution to journalArticle

33 Citations (Scopus)


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
Issue number5
Publication statusPublished - Jan 1 2000


ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Physics and Astronomy(all)

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