Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2021 14 (3)
- Authors
- Safarov, Utkir A.
- Contact information
- Safarov, Utkir A.: Turin Politechnic University in Tashkent Tashkent, Uzbekistan; Tashkent State University of Economics Tashkent, Uzbekistan;
- Keywords
- circle homeomorphism; critical point; conjugating map; rotation number; singular function
- Abstract
We study a conjugacy between two critical circle homeomorphisms with irrational rotation number. Let fi, i = 1, 2 be a C3 circle homeomorphisms with critical point x(i) cr of the order 2mi + 1. We prove that if 2m1 + 1 ̸= 2m2 + 1, then conjugating between f1 and f2 is a singular function. Keywords: circle homeomorphism, critical point, conjugating map, rotation number, singular function
- Pages
- 287–300
- DOI
- 10.17516/1997-1397-2021-14-3-287-300
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/140058
Journal of Siberian Federal University. Mathematics & Physics / A Note on the Conjugacy Between Two Critical Circle Maps
Full text (.pdf)