TY - JOUR
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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U2 - 10.1016/0375-9601(93)90366-8
DO - 10.1016/0375-9601(93)90366-8
M3 - Article
AN - SCOPUS:0002772704
SN - 0375-9601
VL - 177
SP - 13
EP - 20
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 1
ER -