Resumen de Persistence of Invariant Tori in Infinite-Dimensional Hamiltonian Systems

Peng Huang

• 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.