Abstract
We study the stochastic behaviour of a time-independent dynamical system that has closed zero velocity curves for arbitrarily large energies. Thus no escapes appear in such a system and we can study the stochasticity of the system for any value of the energy. The numerical results show that the degree of stochasticity grows as the energy increases from zero, but then it reaches a maximum and for still larger energies it decreases slowly.
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Barbanis, B. The stochastic behaviour of a galactic model dynamical system. Celestial Mechanics 33, 385–395 (1984). https://doi.org/10.1007/BF01241052
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DOI: https://doi.org/10.1007/BF01241052