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Smooth conjugacy of circle diffeomorphisms with break. (English. Ukrainian original) Zbl 1334.37037

Nonlinear Oscil., N.Y. 13, No. 1, 112-127 (2010); translation from Neliniĭni Kolyvannya 13, No. 1, 100-114 (2010).
Summary: We prove that every two circle diffeomorphisms with break that have the same size of break (i.e., the ratio of the left and right derivatives at the break point) and the same irrational revolution number from a certain class that contains non-Diophantine numbers are \(C^{1}\)-smoothly conjugate.

MSC:

37E10 Dynamical systems involving maps of the circle
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References:

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