Probability distributions on projections of strange attractors
by
Michael G. Bailey
Florida Institute of Technology
Coauthors: R. H. Cofer

The ergodic nature of chaotic nonlinear dynamical systems manifests itself on projections of the phase space of the system onto spaces of lower dimensionality. An invariant measure on such a projection is the probability density. A probability density computed on a simulation of a chaotic system can be used to enhance Bayesian pattern recognition in systems where chaos is present. Algorithmic and numeric techniques for determining probability densities of chaotic nonlinear dynamical systems are presented. The legitimacy of box-counting is discussed, with methods to assure the validity of such techniques demonstrated. Example densities are shown.

Date received: February 5, 1998

Copyright © 1998 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caav-07.