Article

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

Zenodo (CERN European Organization for Nuclear Research)repository2023en

ABI

Abstract

<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>

Topics

Mathematical Dynamics and Fractals Analytic and geometric function theory Advanced Differential Equations and Dynamical Systems

Identifiers

DOI: 10.5281/zenodo.7831702

Citations and references

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