id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-406	Liang, Ziyang; Jin, Taian; Wang,  Jiayi	Linearization of multi-frequency quasi-periodically forced circle flows beyond Brjuno condition	2020	17	.pdf	application/pdf	6309	341	82	For ν = j, under the similar transfor- mation as above, (ϕ, θ, x̄j−1) = (ϕ, θ, x̄j+hj (mod 1)), the fibred equation becomes ˙̄xj = ρ+ ḡj−1(ϕ) + f̄j−1(ϕ, θ, x̄j)− ∂ωhj − ∂ω̃hj − (ρ+ ḡj−1(ϕ)) − ρ(Ω, ρ̃)| ≤ ε, provided that ‖f‖C0 ≤ ε small enough [6]., Note that, in (1.2), l = 0 implies that Ω is a Diophantine vector (depending on τ and γ).	cache/ejde-406.pdf	txt/ejde-406.txt