KAM theorem with large twist and finite smooth large perturbation

2021/10/20 by Chen, Lu
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.2110.10338

Abstract

In the present paper, we will discuss the following non-degenerate Hamiltonian system H(θ,t,I)=\fracH₀(I)ε^a+\fracP(θ,t,I)ε^b, where (θ,t,I)\inT^d+1×[1,2]^d (T:=R/2πZ), a,b are given positive constants with a>b, H₀: [1,2]^d→ \mathbf R is real analytic and P: \mathbf T^d+1× [1,2]^d→ \mathbf R is C^ℓ with ℓ=(2(d+1)(5a-b+2ad))/(a-b)+μ, 0

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