Author: Sri Namachchivaya N.
Publisher: Springer Publishing Company
ISSN: 0025-6455
Source: Meccanica, Vol.37, Iss.1-2, 2002-01, pp. : 85-114
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Abstract
We consider a random perturbation of a two-dimensional Hamiltonian system with an isolated elliptic fixed point; that is, a center. Under an appropriate change of time, we identify a reduced stochastically-averaged model. We give a rigorous proof of averaging at the center. Our main technique is to use the martingale problem. Our formulation of the result is in a sufficiently abstract setting that it agrees with more complicated averaging results.
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