Critical exponent for gap filling at crisis

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

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Abstract

A crisis in chaotic dynamical systems is characterized by the conversion of a nonattracting, Cantorset-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
Volume77
Issue number15
Publication statusPublished - 1996
Externally publishedYes

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ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Szabó, K. G., Lai, Y-C., Tél, T., & Grebogi, C. (1996). Critical exponent for gap filling at crisis. Physical Review Letters, 77(15), 3102-3105.