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<p>This paper studies the rotations reducibility of a class of quasi-periodic linear sl(2, ℝ) systems with a usual frequency <i>ω</i> ∈ ℝ<sup>1+<i>d</i></sup>. In fact we proved that if the frequency satisfies some weak-Liouvillean conditions, the system is positive-measure rotations reducible. We will prove this result via a generalized KAM iteration.</p>

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The Rotations Reductibility of Quasi-periodic Linear Systems with Weak-Liouvillean Frequency

  • 期刊论文

  • 发表日期：

    2025年11月15日

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  • Shuai He,
  • Lei Jiao,
  • Ziqing Jin,
  • Yue Mi

摘要

This paper studies the rotations reducibility of a class of quasi-periodic linear sl(2, ℝ) systems with a usual frequency ω ∈ ℝ1+d. In fact we proved that if the frequency satisfies some weak-Liouvillean conditions, the system is positive-measure rotations reducible. We will prove this result via a generalized KAM iteration.