Reducibility for a class of nonlinear quasi-periodic systems under Brjuno-Russmann's non-resonance conditions
type: Item
instance of: scholarly article
title: Reducibility for a class of nonlinear quasi-periodic systems under Brjuno-Russmann's non-resonance conditions
author: Chunpeng Zhu
author: J. Li
published in: Qualitative Theory of Dynamical Systems
publication date: 2022-12-23T00:00:00Z
review text: Following Jorba and Simo's classical series, the work is to find the quasi-periodic solutions for analytic quasi-periodic non-linear systems under Bruno-Russmann's non-resonance condition. Moreover, the linear part systems are analytically reducible near such solutions. The tools utilized here are KAM methods.
reviewed by: Hao Wu
Mathematics Subject Classification ID: 34C20
Mathematics Subject Classification ID: 34C27
zbMATH DE Number: 7636959
zbMATH Keywords: KAM
zbMATH Keywords: reducibility
zbMATH Keywords: quasi-periodic
zbMATH Keywords: non-resonance conditions
MaRDI profile type: Publication
full work available at URL: s12346-022-00702-x
OpenAlex ID: W4311198087
cites work: Smoothness of spectral subbundles and reducibility of quasi periodic linear differential systems
cites work: On the reducibility of linear differential equations with quasiperiodic coefficients
cites work: Floquet solutions for the 1-dimensional quasi-periodic Schrödinger equation
cites work: Full measure reducibility for generic one-parameter family of quasi-periodic linear systems
cites work: On the reducibility of a class of finitely differentiable quasi-periodic linear systems
cites work: On Quasi-Periodic Perturbations of Elliptic Equilibrium Points
cites work: On the reducibility of a class of quasi-periodic Hamiltonian systems with small perturbation parameter near the equilibrium
cites work: Convergent transformations into a normal form in analytic Hamiltonian systems with two degrees of freedom on the zero energy surface near degenerate elliptic singularities
cites work: On the reducibility of two-dimensional linear quasi-periodic systems with small parameter
cites work: On the reducibility of 2-dimensional linear quasi-periodic systems with small parameters
cites work: On the reducibility of a class of nonlinear quasi-periodic system with small perturbation parameter near zero equilibrium point
cites work: On the reducibility of a class of almost periodic Hamiltonian systems
cites work: A KAM scheme for SL(2, \(\mathbb R\)) cocycles with Liouvillean frequencies
cites work: Reducibility of quasiperiodic cocycles under a Brjuno-Rüssmann arithmetical condition
cites work: Almost reducibility and non-perturbative reducibility of quasi-periodic linear systems
cites work: On the reducibility of analytic quasi-periodic systems with Liouvillean basic frequencies
cites work: On the reducibility of linear quasi-periodic systems with Liouvillean basic frequencies and multiple eigenvalues
cites work: Reducibility of a class of nonlinear quasi-periodic systems with Liouvillean basic frequencies
cites work: Small divisors with spatial structure in infinite dimensional Hamiltonian systems
DOI: 10.1007/S12346-022-00702-X
description: scientific article; zbMATH DE number 7636959