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Pré-Publication, Document De Travail Année : 2021

Asymptotic behavior of a solutions of ordinary differential equations defined by a trigonometric polynomial field

Résumé

We prove in this paper that any solution $x$, of an ordinary differential equations defined by a trigonometric polynomial field, admits a "rotation vector" $\rho\in \mathbb{R}^n$. More precisely, the function $t\mapsto x(t)-\rho t$ is uniformly bounded on time and it is a "weak almost periodic" function of "slope" $\rho$.
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Dates et versions

hal-01969255 , version 1 (03-01-2019)
hal-01969255 , version 2 (10-02-2019)
hal-01969255 , version 3 (15-11-2021)
hal-01969255 , version 4 (03-04-2022)

Identifiants

Citer

W Oukil. Asymptotic behavior of a solutions of ordinary differential equations defined by a trigonometric polynomial field. 2021. ⟨hal-01969255v3⟩
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