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CIRCLE MAPPINGS WITH BREAKS

Karshiboev Khayrullo KilichovichCandidate of Physical and Mathematical Sciences, Associate Professor, Head of the Department of Higher Mathematics, Samarkand Institute of Economics and Service, Republic of Uzbekistan, Samarkand
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<em>In this article, we study a one-parameter family of circle homeomorphisms with one break point. It is proved that in the case of a rational rotation number the number of periodic trajectories does not exceed two. </em>

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