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Kolmogorov entropy of a dynamical system with an increasing number of degrees of freedom

Physical review. A, General physicsPublished 1 June 1979
Giancarlo Benettin, Claude Froeschlé, J. P. Scheidecker
Citations134

Abstract

Lyapunov characteristic numbers are used to estimate numerically the Kolmogorov entropy of an isolated one-dimensional self-gravitating system consisting of $N$ plane parallel sheets with uniform density. It appears that the Kolmogorov entropy increases linearly when the number of degrees of freedom is greater than or equal to 2.

Keywords

Physics and Astronomy