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Mathematical Notes

, Volume 93, Issue 1–2, pp 83–89 | Cite as

On Bohl’s argument theorem

  • V. V. Kozlov
Article

Abstract

The classical Bohl argument theorem of a conditionally periodic function is generalized. Conditionally periodic motions on a torus are replaced by the solutions of a nonlinear system of differential equations with invariant measure. Cases in which this system is assumed ergodic or strictly ergodic are considered.

Keywords

Bohl’s argument theorem conditionally periodic motion on the n-dimensional torus (strictly) ergodic system of differential equations uniformly distributed function Birkhoff-Khinchine ergodic theorem 

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Copyright information

© Pleiades Publishing, Ltd. 2013

Authors and Affiliations

  1. 1.Steklov Mathematical InstituteRussian Academy of SciencesMoscowRussia

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