Kolmogorov entropy as a measure of disorder in some non-integrable Hamiltonian systems

Details Kolmogorov entropy as a measure of disorder in some non-integrable Hamiltonian systems Kolmogorov entropy as a measure of disorder in some non-integrable Hamiltonian systems

Dec 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984cemec..34..117g&link_type=abstract

(Bundesministerium für Wissenschaft und Forschung of Austria, Alexander von Humboldt Colloquium on Celestial Mechanics: The Stab

Mathematics

Dynamical Systems

1

Dynamical Systems, Entropy, Hamiltonian Functions, Stochastic Processes, Extremum Values, Kolmogoroff Theory, Liapunov Functions, Orbit Calculation

Scientific paper

This paper is devoted to a quantitative study of the stochastic behaviour of some Hamiltonian systems with closed velocity curves. The authors investigate Hamiltonians already studied by Ali and Somorjai. For each energy they compute the Lyapunov characteristic exponents of fifty orbits chosen at random, in order to calculate the Kolmogorov entropy by Pesin's formula. The results are in agreement with those of Ali and Somorjai.

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