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.

• Received 1 November 1978

DOI:https://doi.org/10.1103/PhysRevA.19.2454