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arXiv · 2411.14844

Invariant tori for a class of affined Anosov mappings with quasi-periodic forces

Xinyu Bai·Zeng Lian·Xiao Ma·Hang Zhao
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Abstract

In this paper, we consider a class of affined Anosov mappings with quasi-periodic forces, and show that there is a unique positive integer $m$, which only depends on the system, such that the exponential growth rate of the cardinality of invariant tori of degree $m$ is equal to the topological entropy.

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Xinyu Bai, Zeng Lian, Xiao Ma, Hang Zhao. 2024-11-22. Invariant tori for a class of affined Anosov mappings with quasi-periodic forces. https://arxiv.org/abs/2411.14844

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