Stochastic perturbations to conservative dynamical systems on the plane. II. Recurrency conditions
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- by G. Wolansky PDF
- 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.References
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Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 309 (1988), 641-657
- MSC: Primary 35R60; Secondary 58F11, 60J60, 93E03
- DOI: https://doi.org/10.1090/S0002-9947-1988-0961605-1
- MathSciNet review: 961605