Almost reducibility of quasiperiodic \(SL(2, \mathbb{R})\)-cocycles in ultradifferentiable classes
From MaRDI portal
Publication:2691845
DOI10.1016/J.JDE.2023.01.041OpenAlexW4281550448MaRDI QIDQ2691845
Maxime Chatal, Claire Chavaudret
Publication date: 30 March 2023
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2204.13306
ultradifferentiable classsmall divisorsalmost reducibilityKAM methodquasi-periodic cocyclesBrjuno-Rüssmann condition
Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37Jxx) Ergodic theory (37Axx) Smooth dynamical systems: general theory (37Cxx)
Cites Work
- Unnamed Item
- Reducibility of quasiperiodic cocycles under a Brjuno-Rüssmann arithmetical condition
- A KAM scheme for SL(2, \(\mathbb R\)) cocycles with Liouvillean frequencies
- A normal form theorem for Brjuno skew systems through renormalization
- Floquet solutions for the 1-dimensional quasi-periodic Schrödinger equation
- Almost reducibility and non-perturbative reducibility of quasi-periodic linear systems
- Ultradifferentiable functions and Fourier analysis
- Linearization of Gevrey flows on \(\mathbb{T}^d\) with a Brjuno type arithmetical condition
- Ultradifferentiable extension theorems: a survey
- Rigidity of reducibility of Gevrey quasi-periodic cocycles on $U(n)$
- Reducibility of quasiperiodic cocycles in linear Lie groups
- KAM, α-Gevrey regularity and the α-Bruno-Rüssmann condition
- Strong almost reducibility for analytic and Gevrey quasi-periodic cocycles
- Reducibility of ultra-differentiable quasiperiodic cocycles under an adapted arithmetic condition
- A nonperturbative Eliasson's reducibility theorem
This page was built for publication: Almost reducibility of quasiperiodic \(SL(2, \mathbb{R})\)-cocycles in ultradifferentiable classes