On Linearization of Circle Diffeomorphisms

Author(s):  
Akhadkulov Habibulla ◽  
Dzhalilov Akhtam ◽  
Konstantin Khanin
1993 ◽  
pp. 14-80
Author(s):  
Welington Melo ◽  
Sebastian Strien

2010 ◽  
Vol 13 (1) ◽  
pp. 112-127 ◽  
Author(s):  
O. Yu. Teplins’kyi ◽  
K. M. Khanin

2011 ◽  
Vol 32 (6) ◽  
pp. 2011-2024 ◽  
Author(s):  
ALE JAN HOMBURG

AbstractWe discuss the dynamics of skew product maps defined by circle diffeomorphisms forced by expanding circle maps. We construct an open class of such systems that are robustly topologically mixing and for which almost all points in the same fiber converge under iteration. This property follows from the construction of an invariant attracting graph in the natural extension, a skew product of circle diffeomorphisms forced by a solenoid homeomorphism.


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