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<p>In this paper, we consider a class of reversible (non-Hamiltonian) beam equations involving high-order derivative perturbations on <i>d</i>-dimensional torus. The existence of small-amplitude, linearly stable, quasi-periodic solutions is demonstrated in this paper through the application of an abstract KAM theorem for infinite-dimensional reversible systems.</p>

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KAM tori for higher-dimensional reversible derivative beam equations with constant potential

  • 期刊论文

  • 发表日期：

    2025年12月1日

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  • Chuanfang Ge,
  • Jiansheng Geng,
  • Yingnan Sun

摘要

In this paper, we consider a class of reversible (non-Hamiltonian) beam equations involving high-order derivative perturbations on d-dimensional torus. The existence of small-amplitude, linearly stable, quasi-periodic solutions is demonstrated in this paper through the application of an abstract KAM theorem for infinite-dimensional reversible systems.