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arxiv: 2408.01204 · v1 · pith:QYZM6EVK · submitted 2024-08-02 · math.DS

Center manifolds for Random Dynamical Systems with generalized trichotomies

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classification math.DS
keywords centerdynamicalgeneralizedmanifoldsrandomsystemsbanachcontinuous
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For small perturbations of linear Random Dynamical Systems evolving on a Banach space and exhibiting a generalized form of trichotomy, we prove the existence of invariant center manifolds, both in continuous and discrete-time. Furthermore, we provide several illustrative examples.

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