GEOMETRY FROM A TIME-SERIES

GEOMETRY FROM A TIME-SERIES
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DOI:
10.1103/physrevlett.45.712
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发表时间:
1980-01-01
影响因子:
8.6
通讯作者:
SHAW, RS
SHAW, RS
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
PACKARD, NH;CRUTCHFIELD, JP;SHAW, RS

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It is shown how the existence of low-dimensional chaotic dynamical systems describing turbulent fluid flow might be determined experimentally. Techniques are outlined for reconstructing phase-space pictures from the observation of a single coordinate of any dissipative dynamical system, and for determining the dimensionality of the system's attractor. These techniques are applied to a well-known simple three-dimensional chaotic dynamical system.