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.
International Journal on Integrated Education (IJIE) 2620-3502 is a peer-reviewed, open-access scholarly journal, publishing high-quality manuscripts in multidisciplinary research areas. IJIE accepts papers in the forms of original research articles, review articles, book reviews, case reports, and ...