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" $\rho$.
Domaines
Systèmes dynamiques [math.DS]
Origine : Fichiers produits par l'(les) auteur(s)