Center manifolds for Random Dynamical Systems with generalized trichotomies

Ant\'onio J. G. Bento; Helder Vilarinho

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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

Ant\'onio J. G. Bento , Helder Vilarinho This is my paper

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.

Center manifolds for Random Dynamical Systems with generalized trichotomies

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