Abstract
Invariant foliations are geometric structures useful fordescribing and understanding qualitative behaviors of nonlineardynamical systems. They decompose the state space intoregions of different dynamical regimes, and thus help depictdynamics. We investigate invariant foliations for a class of stochasticpartial differential equations with random dynamical boundary conditions, and then providean approximation for these foliations when the noise intensity is sufficiently small.
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