Transient periodicity in chaos

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

doi:10.1016/0375-9601(93)90366-8

Transient periodicity in chaos

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

Research output: Contribution to journal › Article › peer-review

15 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 language	English (US)
Pages (from-to)	13-20
Number of pages	8
Journal	Physics Letters A
Volume	177
Issue number	1
DOIs	https://doi.org/10.1016/0375-9601(93)90366-8
State	Published - May 31 1993
Externally published	Yes

ASJC Scopus subject areas

General Physics and Astronomy

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title = "Transient periodicity in chaos",

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.",

author = "Kendall, {Bruce E.} and Schaffer, {W. M.} and Tidd, {C. W.}",

note = "Funding Information: This work was supported by NIH grant RO 1 A123534-04 to WMS. We thank the anonymous reviewer for helpful criticisms.",

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T1 - Transient periodicity in chaos

AU - Kendall, Bruce E.

AU - Schaffer, W. M.

AU - Tidd, C. W.

N1 - Funding Information: This work was supported by NIH grant RO 1 A123534-04 to WMS. We thank the anonymous reviewer for helpful criticisms.

PY - 1993/5/31

Y1 - 1993/5/31

N2 - 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.

AB - 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.

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Transient periodicity in chaos

Abstract

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