Small stochastic perturbations of integrable canonical systems
Abstract
We consider the integrable canonical systems perturbed by a Brownian motion and we present an asymptotic estimation (in probability and in uniform norm) of the difference between the coordinates, the momenta and their small stochastic perturbations. The typical examples of application of these estimates are the exactly harmonic systems.
- Publication:
-
Romanian Astronomical Journal
- Pub Date:
- 1996
- Bibcode:
- 1996RoAJ....6..171S
- Keywords:
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- Canonical Systems;
- Brownian Perturbations;
- Celestial Mechanics