Uncovers a new non-degeneracy condition for invariant tori in non-integrable Hamiltonian systems, suggesting broader applications for stability analysis.
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.
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Cheng et al. (2026) studied this question.
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