Subbasins, Portals, and Mazes: Transients in High Dimensions

James P. Crutchfield
Physics Department
University of California
Berkeley, CA 94720, USA

Abstract

Transients in spatially-extended systems can be so long that the asymptotic invariant measure, or attractor, is irrelevant to the observed behavior. Even if the dynamics admit no local information production, a transient can appear quite complex spatially or temporally unpredictable. In such situations, the observed complexity depends on the basin structure in a high-dimensional state space. Statistical methods are used to elucidate the geometry of two braod classes of transient behavior: stationary and nonstationary.

Citation

James P. Crutchfield. "Subbasins, Portals, and Mazes: Transients in High Dimensions." J. Nucl. Phys. B 5A 1988: 287-292.

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