Short Communications

Minimal sets of the extentions of the quasi-periodic flows

A. N. Saharov

Nizhnii Novgorod State Agricultural Academy

Abstract: The present paper devoted the proof of the structural theorem for the minimal sets of the skew-product flows of the form
$$F^t(\varphi,\theta)\,=\,(\varphi_t,F^t_\varphi(\theta))({\rm mod}2\pi),$$
where $\varphi_t=\varphi+\omega t({\rm mod}2\pi)$ is quasi-periodic flow on $m$-dimensional torus $T^m,$ the fiber map $F^t_\varphi$ is an orientation preserving homeomorphism of the circle $S^1$

Keywords: flows extentions, minimal sets, almost automorphy.

UDC: 517.956.2