“Geometry from a Time Series”, 1980-09 ():
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 3-dimensional chaotic dynamical system.
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