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arXiv · 2408.01204

Center manifolds for Random Dynamical Systems with generalized trichotomies

António J. G. Bento·Helder Vilarinho
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Abstract

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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António J. G. Bento, Helder Vilarinho. 2024-08-02. Center manifolds for Random Dynamical Systems with generalized trichotomies. https://arxiv.org/abs/2408.01204

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