Topological scaling and gap filling at crisis

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

Research output: Contribution to journalArticle

32 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 (US)
Pages (from-to)5019-5032
Number of pages14
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume61
Issue number5 A
StatePublished - May 2000

Fingerprint

scaling laws
dynamical systems
Scaling
entropy
orbits
scaling
Chaotic Dynamical Systems
Scaling Theory
Topological Entropy
Scaling Laws
Periodic Orbits
Interior
Unstable
Crisis

ASJC Scopus subject areas

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

Cite this

Topological scaling and gap filling at crisis. / Szabó, K. Gábor; Lai, Ying-Cheng; Tél, Tamás; Grebogi, Celso.

In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 61, No. 5 A, 05.2000, p. 5019-5032.

Research output: Contribution to journalArticle

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