# American Institute of Mathematical Sciences

September  2014, 34(9): 3639-3666. doi: 10.3934/dcds.2014.34.3639

## Invariant foliations for random dynamical systems

 1 Institute for Mathematics and its Application, University of Minnesota, Minneapolis, MN, 55455, United States 2 Department of Mathematics, Brigham Young University, Provo, Utah 84602 3 Department of Mathematics, Michigan State University, East Lansing, MI 48824

Received  June 2013 Revised  December 2013 Published  March 2014

We prove the existence of invariant foliations of stable and unstable manifolds of a normally hyperbolic random invariant manifold. The normally hyperbolic random invariant manifold referred to here is that which was shown to exist in a previous paper when a deterministic dynamical system having a normally hyperbolic invariant manifold is subjected to a small random perturbation.
Citation: Ji Li, Kening Lu, Peter W. Bates. Invariant foliations for random dynamical systems. Discrete & Continuous Dynamical Systems - A, 2014, 34 (9) : 3639-3666. doi: 10.3934/dcds.2014.34.3639
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