id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-590	Lou, Zhaowei; Wu, Youchao	A KAM theorem for degenerate infinite-dimensional reversible systems	2024	20	.pdf	application/pdf	8376	467	79	The map Φ = ΦtF |t=1 defined above transforms X into X+ = Φ∗X = N+ + P+ on D(s− 5σ, ηr), where N+ = N + N̂ , P+ = (Φ1 F )∗(P −R) + ∫ 1 0 (ΦtF )∗[R(t), F ]dt, with R(t) − iΩ(ξ)z̄ ∂ ∂z̄ , (5.13) P = ∑ w∈{θ,I,z,z̄} Pw(θ, I, z, z̄; ξ) ∂ ∂w (5.14) with ωb = λjb − 1 4 n∑ k=1 λ−1 jk ajkjkjbjbξk, Ωj = λj − 1 4 n∑ k=1 λ−1 jk ajkjkjjξk (5.15) P (θb) = −1 4 n∑ k=1 λ−1 jk ajkjkjbjbIk − 1 4 ∑ l∈N1 λ−1 l alljbjb |zl|2 + (Q̂(qjb ) +K(qjb ))	cache/ejde-590.pdf	txt/ejde-590.txt