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arXiv · 2311.13306

On the nonlinear Poincaré flow

Abstract

We develop a tool in order to analyse the dynamics of differentiable flows with singularities. It provides an abstract model for the local dynamics that can be used in order to control the size of invariant manifolds. This work is the first part of the results announced in [CY2].

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Sylvain Crovisier, Dawei Yang. 2023-11-22. On the nonlinear Poincaré flow. https://arxiv.org/abs/2311.13306

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