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Abstract <p> Bohl points of a conditionally periodic motion are defined as the phases such that the integral of a continuous function with zero mean value along the motion is always nonnegative (or nonpositive). Bohl points are known to always exist. This note is devoted to a generalization of this result to the case of uniquely ergodic dynamical systems as well as to almost periodic Bohr functions. </p>

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On a Theorem of Bohl Regarding Integrals of Quasi-Periodic Functions

  • 期刊论文

  • 发表日期：

    2025年12月1日

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  • Valery Kozlov

摘要

Abstract

Bohl points of a conditionally periodic motion are defined as the phases such that the integral of a continuous function with zero mean value along the motion is always nonnegative (or nonpositive). Bohl points are known to always exist. This note is devoted to a generalization of this result to the case of uniquely ergodic dynamical systems as well as to almost periodic Bohr functions.