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- W2023385085 abstract "We prove the existence of inertial manifolds for a semilinear dynamical system perturbed by additive 'white noise'. This manifold is generated by a certain predictable stationary vector process . We study properties of this process as well as the properties of the induced finite-dimensional stochastic system on the manifold (inertial form). The results obtained allow us to prove for the original stochastic system a theorem on stabilization of stationary solutions to a unique invariant measure. This measure is uniquely defined by the probability distribution of the process and the form of the invariant measure corresponding to the inertial form." @default.
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- W2023385085 date "1995-02-28" @default.
- W2023385085 modified "2023-10-14" @default.
- W2023385085 title "Inertial manifolds and stationary measures for stochastically perturbed dissipative dynamical systems" @default.
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- W2023385085 doi "https://doi.org/10.1070/sm1995v186n01abeh000002" @default.
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