Smooth conjugacy of circle diffeomorphisms with break

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.

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Bibliographische Detailangaben
Veröffentlicht in:	Nonlinear oscillations 2010-12, Vol.13 (1), p.112-127
Hauptverfasser:	Teplins’kyi, O. Yu, Khanin, K. M.
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Difference and Functional Equations Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	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.
ISSN:	1536-0059 1536-0059
DOI:	10.1007/s11072-010-0104-2