Transient periodicity in chaos

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

Research output: Contribution to journalArticle

13 Citations (Scopus)

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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saddles
chaos
periodic variations
unions
partitions
bursts
trajectories

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Transient periodicity in chaos. / Kendall, Bruce E.; Schaffer, William M; Tidd, C. W.

In: Physics Letters A, Vol. 177, No. 1, 31.05.1993, p. 13-20.

Research output: Contribution to journalArticle

Kendall, Bruce E. ; Schaffer, William M ; Tidd, C. W. / Transient periodicity in chaos. In: Physics Letters A. 1993 ; Vol. 177, No. 1. pp. 13-20.
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