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On Bohl’s argument theorem

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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.

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Authors and Affiliations

  1. Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia

    V. V. Kozlov

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  1. V. V. Kozlov
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Correspondence to V. V. Kozlov.

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Original Russian Text © V. V. Kozlov, 2013, published in Matematicheskie Zametki, 2013, Vol. 93, No. 1, pp. 72–80.

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Kozlov, V.V. On Bohl’s argument theorem. Math Notes 93, 83–89 (2013). https://doi.org/10.1134/S0001434613010094

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  • DOI: https://doi.org/10.1134/S0001434613010094

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