Article ID Journal Published Year Pages File Type
1898609 Physica D: Nonlinear Phenomena 2012 5 Pages PDF
Abstract
► The Ulam method is used to study dynamical and statistical properties of the Arnold cat map. ► The properties of eigenvalues and eigenvectors of the Ulam matrix approximant are determined. ► Their relations to the Fokker-Planck relaxation and the Kolmogorov-Sinai entropy are established. ► The Ulam time scale for time reversal is shown to depend logarithmically on the matrix size.
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
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