On the reducibility of linear quasi-periodic systems with Liouvillean basic frequencies and multiple eigenvalues
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Publication:2003940
DOI10.1016/j.jde.2020.07.025zbMath1475.70016OpenAlexW3087263139MaRDI QIDQ2003940
Hao Wu, Dongfeng Zhang, Junxiang Xu, Xindong Xu
Publication date: 13 October 2020
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2020.07.025
Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Nearly integrable Hamiltonian systems, KAM theory (70H08)
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Cites Work
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- The stability of the elliptic equilibrium of planar quasi-periodic Hamiltonian systems
- On invariant tori with prescribed frequency in Hamiltonian systems
- Reducibility of quasiperiodic cocycles under a Brjuno-Rüssmann arithmetical condition
- Invariant curves of analytic reversible mappings under Brjuno-Rüssmann's non-resonant condition
- Reducibility of 1-d Schrödinger equation with time quasiperiodic unbounded perturbations. II
- A KAM scheme for SL(2, \(\mathbb R\)) cocycles with Liouvillean frequencies
- On reducibility of Schrödinger equations with quasiperiodic in time potentials
- On invariant tori of vector field under weaker non-degeneracy condition
- The stability of the equilibrium of planar Hamiltonian and reversible systems
- A normal form theorem for Brjuno skew systems through renormalization
- Brjuno condition and renormalization for Poincaré flows
- On the reducibility of a class of nonlinear quasi-periodic system with small perturbation parameter near zero equilibrium point
- Full measure reducibility for generic one-parameter family of quasi-periodic linear systems
- Smoothness of spectral subbundles and reducibility of quasi periodic linear differential systems
- On the reducibility of linear differential equations with quasiperiodic coefficients
- Floquet solutions for the 1-dimensional quasi-periodic Schrödinger equation
- A note on the reducibility of linear differential equations with quasiperiodic coefficients
- Reducibility of the quantum harmonic oscillator in \(d\)-dimensions with polynomial time-dependent perturbation
- Almost reducibility and non-perturbative reducibility of quasi-periodic linear systems
- Stability of zero solutions of essentially nonlinear one-degree-of-freedom Hamiltonian and reversible systems
- The stability of equilibrium of quasi-periodic planar Hamiltonian and reversible systems
- On high dimensional Schrödinger equation with quasi-periodic potentials
- Reducibility results for quasiperiodic cocycles with Liouvillean frequency
- KAM à la R
- Response solutions for quasi-periodically forced harmonic oscillators
- A NOTE ON QUASI-PERIODIC PERTURBATIONS OF ELLIPTIC EQUILIBRIUM POINTS
- On the persistence of degenerate lower-dimensional tori in reversible systems
- On the reducibility of two-dimensional linear quasi-periodic systems with small parameter
- ANALYTIC REDUCIBILITY OF RESONANT COCYCLES TO A NORMAL FORM
- Herman’s last geometric theorem
- On the reducibility of linear differential equations with quasiperiodic coefficients which are degenerate
- A Lyapunov-type stability criterion using $L^\alpha $ norms
- Reducibility of 1-d Schrödinger equation with time quasiperiodic unbounded perturbations. I
- On Quasi-Periodic Perturbations of Elliptic Equilibrium Points
- On the reducibility of a class of linear differential equations with quasiperiodic coefficients
- Ergodic skew-systems on \mathbb{T}^d \times SO(3,\mathbb{R}}
- Strong almost reducibility for analytic and Gevrey quasi-periodic cocycles
- Convergent transformations into a normal form in analytic Hamiltonian systems with two degrees of freedom on the zero energy surface near degenerate elliptic singularities
- Reducibility of 1D quantum harmonic oscillator perturbed by a quasiperiodic potential with logarithmic decay
- A note on the extension of the Dinaburg–Sinai theorem to higher dimension
- Global density of reducible quasi-periodic cocycles on \(\mathbb T^1\times \text{SU}(2)\)
