Persistence of Invariant Tori in Infinite-Dimensional Hamiltonian Systems

• Peng Huang ^[1]
  1. [1] Guizhou University of Finance and Economics

     Guizhou University of Finance and Economics

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 21, Nº 2, 2022
• Idioma: inglés
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• Resumen

  • In this paper, we consider the persistence of invariant tori in infinite-dimensional Hamiltonian systems H=⟨ω,I⟩+P(θ,I,ω), where θ∈TΛ, I∈RΛ, the frequency ω=(⋯,ωλ,⋯)λ∈Λ is regarded as parameters varying freely over some subset ℓ∞(Λ,R) of the parameter space RΛ, ω=(⋯,ωλ,⋯)λ∈Λ is a bilateral infinite sequence of rationally independent frequency, in other words, any finite segments of ω=(⋯,ωλ,⋯)λ∈Λ are rationally independent.