| Abstract: |
| In this talk, we focus on the study of normally hyperbolic invariant manifolds (NHIMs) for a class of quasi-periodically forced systems subject to additional stochastic noise. These systems can be interpreted as skew-product systems. The existence of NHIMs is established through the development of a parameterization method in the random setting, together with an application of the implicit function theorem in suitable Banach spaces. Based on this framework, we propose algorithms for computing the statistics of NHIMs as well as Lyapunov exponents. This talk is based on joint work with L. Zhang (DUT). |
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