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<p>In the present paper, we provide a weaker nondegenerate condition for the persistence of invariant tori in the parametrized forms for non-integrable Hamiltonian systems. This is a development of KAM following Salamon’s approach. Specifically, we establish a Rüssmann-type non-degeneracy condition for the non-integrable systems.</p>

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The Persistence of Invariant Tori in a Parametric Setting

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年2月27日

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  • Cheng Cheng,
  • Weichao Qian

摘要

In the present paper, we provide a weaker nondegenerate condition for the persistence of invariant tori in the parametrized forms for non-integrable Hamiltonian systems. This is a development of KAM following Salamon’s approach. Specifically, we establish a Rüssmann-type non-degeneracy condition for the non-integrable systems.