Published April 15, 2023 | Version v1
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CIRCLE MAPPINGS WITH BREAKS

  • 1. Candidate 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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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.

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Journal article: 10.5281/zenodo.7831702 (DOI)