Chaos and irreversibility in a conservative nonlinear dynamical system with a few degrees of freedom
- 1 April 1984
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 29 (4) , 2078-2091
- https://doi.org/10.1103/physreva.29.2078
Abstract
The motion of an elastic pendulum with two degrees of freedom has been investigated in the vicinity of a separatrix, using the Liouville equation. Even for this simple system, an irreversible kinetic equation of the Fokker-Plank type for the momentum-distribution function has been obtained in the limit of a stiff pendulum. This equation describes a monotonic approach to the "microcanonical equilibrium state" for a given energy surface. The diffusion coefficient for the energy of the unperturbed pendulum in this work is directly related to that obtained by Chirikov's heuristic argument.Keywords
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