Transient periodicity in chaos

Bruce E. Kendall, W. M. Schaffer, C. W. Tidd

Research output: Contribution to journalArticle

13 Scopus citations

Abstract

Chaotic time series can exhibit rare bursts of "periodic" motion. We discuss one mechanism for this phenomenon of "transient periodicity": the trajectory gets temporarily stuck in the neighborhood of a semiperiodic "semi-attractor" (or "chaotic saddle"). This can provide insight for interpreting such phenomena in empirical time series; it also allows for a novel partition of the phase space, in which the attractor may be viewed as the union of many such chaotic saddles.

Original languageEnglish (US)
Pages (from-to)13-20
Number of pages8
JournalPhysics Letters A
Volume177
Issue number1
DOIs
StatePublished - May 31 1993

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ASJC Scopus subject areas

  • Physics and Astronomy(all)

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