Stochastic perturbations to conservative dynamical systems on the plane. II. Recurrency conditions
نویسندگان
چکیده
منابع مشابه
Stochastic Perturbations to Conservative Dynamical Systems on the Plane. I: Convergence of Invariant Distributions
We consider a nonlinear system on the plane, given by an oscillator with homoclinic orbits. The above system is subjected to a perturbation, composed of a deterministic part and a random (white noise) part. Assuming the existence of a finite, invariant measure to the perturbed system, we deal with the convergence of the measures to a limit measure, as the perturbation parameter tends to zero. T...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1988
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1988-0961605-1