关于两个临界圆映射之间共轭性的一个注记

IF 0.4 Q4 MATHEMATICS

Journal of Siberian Federal University-Mathematics & Physics Pub Date : 2021-06-01 DOI:10.17516/1997-1397-2021-14-3-287-300

U. Safarov

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引用次数: 0

摘要

研究了具有无理数的两个临界圆同胚的共轭性。设(fi, i = 1,2)是一个C3圆同态，临界点为(x(i)) cr，阶为2mi + 1。证明了如果2m1 + 1h = 2m2 + 1，则f1与f2之间的共轭是一个奇异函数。关键词:圆同胚，临界点，共轭映射，旋转数，奇异函数

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A Note on the Conjugacy Between Two Critical Circle Maps

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

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来源期刊

Journal of Siberian Federal University-Mathematics & Physics MATHEMATICS-

CiteScore

0.90

自引率

0.00%

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