Abstract:
It is shown how the existence of low-dimensional chaotic dynamical systems describing turbulent fluid flow might be determined experimentally. Techniques are outlines for reconstructing phase-space pictures form 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.
Citation:
Packard, N.H., Crutchfield, J.P., Farmer, J.D. & Shaw, R.S. (1980). 'Geometry from a Time Series'. Physical Review Letters, 45(9), pp.712-716.