Linearization of quasiperiodically forced circle flows beyond Brjuno condition
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Publication:1709801
DOI10.1007/s00220-017-3021-8zbMath1402.37034arXiv1609.07284OpenAlexW3099993943MaRDI QIDQ1709801
Raphaël Krikorian, Qi Zhou, Jing Wang, Jiangong You
Publication date: 6 April 2018
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1609.07284
Periodic and quasi-periodic flows and diffeomorphisms (37C55) Rotation numbers and vectors (37E45) Multifrequency systems of ordinary differential equations (34C46)
Related Items (18)
Response solutions to harmonic oscillators beyond multi-dimensional Brjuno frequency ⋮ Linearization of quasi-periodically forced circle flows beyond multi-dimensional Brjuno frequency ⋮ Bounded non-response solutions with Liouvillean forced frequencies for nonlinear wave equations ⋮ Embedding of analytic quasi-periodic cocycles into analytic quasi-periodic linear systems and its applications ⋮ Absolutely continuous spectrum of multifrequency quasiperiodic Schrödinger operator ⋮ Response solutions for KdV equations with Liouvillean frequency ⋮ Quasi-periodically forced and reversible vibrations of beam equations with Liouvillean frequencies ⋮ Response solutions for completely degenerate oscillators under arbitrary quasi-periodic perturbations ⋮ Reducibility results for quasiperiodic cocycles with Liouvillean frequency ⋮ Response solutions for quasi-periodically forced harmonic oscillators in Gevrey class ⋮ Response solutions for quasi-periodically forced harmonic oscillators ⋮ Lower dimensional invariant tori for quasiperiodically forced circle diffeomorphisms ⋮ Quasi-periodic solutions for nonlinear wave equation with Liouvillean frequency ⋮ On topological genericity of the mode-locking phenomenon ⋮ Stoker's Problem for Quasi-periodically Forced Reversible Systems with Multidimensional Liouvillean Frequency ⋮ Global rigidity for ultra-differentiable quasiperiodic cocycles and its spectral applications ⋮ Linearization of ultra-differentiable circle flows beyond Brjuno condition ⋮ Quasiperiodic solutions of NLS with Liouvillean frequencies
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