Simultaneous linearization for commuting quasiperiodically forced circle diffeomorphisms

Wang, Jing; Zhou, Qi

doi:10.1090/S0002-9939-2012-11357-7

Simultaneous linearization for commuting quasiperiodically forced circle diffeomorphisms
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by Jing Wang and Qi Zhou PDF

Proc. Amer. Math. Soc. 141 (2013), 625-636 Request permission

Abstract:

For commuting smooth quasiperiodically forced circle diffeomorphisms, we show that if the base frequencies and the fibred rotation numbers jointly satisfy some simultaneous Diophantine condition and if the diffeomorphisms are in some $C^{\infty }$ neighborhood of the corresponding rotations, then they are simultaneously $C^{\infty }$-linearizable.

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