Kolmogorov entropy and numerical experiments
- 1 December 1976
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 14 (6), 2338-2345
- https://doi.org/10.1103/physreva.14.2338
Abstract
Numerical investigations of dynamical systems allow one to give estimates of the rate of divergence of nearby trajectories, by means of a quantity which is usually assumed to be related to the Kolmogorov (or metric) entropy. In this paper it is shown first, on the basis of mathematical results of Oseledec and Piesin, how such a relation can be made precise. Then, as an example, a numerical study of the Kolmogorov entropy for the Hénon-Heiles model is reported.Keywords
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