Stochastic perturbations to conservative dynamical systems on the plane. II. Recurrency conditions

Wolansky, G.

doi:10.1090/S0002-9947-1988-0961605-1

Stochastic perturbations to conservative dynamical systems on the plane. II. Recurrency conditions
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Trans. Amer. Math. Soc. 309 (1988), 641-657 Request permission

Abstract:

We consider a conservative system on the plane, subjected to a perturbation. The above perturbation is composed of a deterministic part and a random (white noise) part. We discuss the conditions under which there exists a unique, finite invariant measure to the perturbed system, and the weak compactness of the above measures for small enough perturbation’s parameter.

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