## A sufficient condition for $$C^1$$-smoothness of the conjugation between piecewise smooth circle homeomorphisms.(English)Zbl 1427.37031

Summary: Let $$T_1$$ and $$T_2$$ be two piecewise smooth circle homeomorphisms with countably many break points and identical irrational rotation number. We provide a sufficient condition for $$C^1$$-smoothness of the conjugation between $$T_1$$ and $$T_2$$.

### MSC:

 37E10 Dynamical systems involving maps of the circle 37C15 Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems 37E45 Rotation numbers and vectors
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### References:

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