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arXiv · 2312.04544

A generalization of Siegmund's normal forms theorem to systems with $\mu$-dichotomies

Álvaro Castañeda·Néstor Jara
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Abstract

We establish a theorem concerning the normal forms by examining the newly presented concept of $\mu$-dichotomy. This work establishes the nonresonance condition based on the associated spectrum of this general nonautonomous hyperbolicity.

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Álvaro Castañeda, Néstor Jara. 2023-12-07. A generalization of Siegmund's normal forms theorem to systems with $\mu$-dichotomies. https://arxiv.org/abs/2312.04544

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