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- W1973897537 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 <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper C Superscript normal infinity> <mml:semantics> <mml:msup> <mml:mi>C</mml:mi> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mi mathvariant=normal>∞<!-- ∞ --></mml:mi> </mml:mrow> </mml:msup> <mml:annotation encoding=application/x-tex>C^{infty }</mml:annotation> </mml:semantics> </mml:math> </inline-formula> neighborhood of the corresponding rotations, then they are simultaneously <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper C Superscript normal infinity> <mml:semantics> <mml:msup> <mml:mi>C</mml:mi> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mi mathvariant=normal>∞<!-- ∞ --></mml:mi> </mml:mrow> </mml:msup> <mml:annotation encoding=application/x-tex>C^{infty }</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-linearizable." @default.
- W1973897537 created "2016-06-24" @default.
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- W1973897537 date "2012-06-28" @default.
- W1973897537 modified "2023-09-25" @default.
- W1973897537 title "Simultaneous linearization for commuting quasiperiodically forced circle diffeomorphisms" @default.
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- W1973897537 doi "https://doi.org/10.1090/s0002-9939-2012-11357-7" @default.
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