Critical exponent for gap filling at crisis

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

Research output: Contribution to journalArticlepeer-review

30 Scopus citations


A crisis in chaotic dynamical systems is characterized by the conversion of a nonattracting, Cantor-set-like chaotic saddle into a chaotic attractor. The gaps 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 (US)
Pages (from-to)3102-3105
Number of pages4
JournalPhysical Review Letters
Issue number15
StatePublished - 1996
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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