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Persistence of Invariant Tori in Integrable Hamiltonian Systems Under Almost Periodic Perturbations

Huang, Peng ; Li, Xiong

Journal of nonlinear science, 2018-10, Vol.28 (5), p.1865-1900 [Periódico revisado por pares]

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Título:
Persistence of Invariant Tori in Integrable Hamiltonian Systems Under Almost Periodic Perturbations
Autor: Huang, Peng ; Li, Xiong
Assuntos: Analysis ; Classical Mechanics ; Differential equations ; Economic Theory/Quantitative Economics/Mathematical Methods ; Hamiltonian functions ; Invariants ; Mathematical and Computational Engineering ; Mathematical and Computational Physics ; Mathematics ; Mathematics and Statistics ; Periodic functions ; Periodic variations ; Theoretical ; Toruses
É parte de: Journal of nonlinear science, 2018-10, Vol.28 (5), p.1865-1900
Descrição: In this paper, we are concerned with the existence of invariant tori in nearly integrable Hamiltonian systems H = h ( y ) + f ( x , y , t ) , where y ∈ D ⊆ R n with D being an open bounded domain, x ∈ T n , f ( x , y , t ) is a real analytic almost periodic function in t with the frequency ω = ( … , ω λ , … ) λ ∈ Z ∈ R Z . As an application, we will prove the existence of almost periodic solutions and the boundedness of all solutions for the second-order differential equations with superquadratic potentials depending almost periodically on time.
Editor: New York: Springer US
Idioma: Inglês

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