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<p>We study the linearization problem of quasiperiodically forced flows on a torus of dimension <i>m</i> with Liouvillean frequency. Under a weaker non-degeneracy condition, a positive measure of <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="332_2025_10188_Article_IEq3.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="28" /> </InlineMediaObject> <EquationSource Format="TEX">\(C^\infty \)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>C</mi> <mi>∞</mi> </msup> </math></EquationSource> </InlineEquation> rotation linearizable is obtained based on a modified KAM theorem. This generalized the previous work by Krikorian–Wang–You–Zhou.</p>

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Linearization of Quasiperiodically Forced Flows on \({\mathbb {T}}^m\) with Liouvillean Frequency

  • 期刊论文

  • 发表日期：

    2025年7月18日

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  • Jinhui Li,
  • Guangqing Wang

摘要

We study the linearization problem of quasiperiodically forced flows on a torus of dimension m with Liouvillean frequency. Under a weaker non-degeneracy condition, a positive measure of \(C^\infty \) C ∞ rotation linearizable is obtained based on a modified KAM theorem. This generalized the previous work by Krikorian–Wang–You–Zhou.