ALMOST REDUCIBILITY OF QUASIPERIODIC SL(2, R)-COCYCLES IN ULTRADIFFERENTIABLE CLASSES

Maxime Chatal (1, 2) , Claire Chavaudret (1, 2)

1 IMJ-PRG (UMR_7586) - Institut de Mathématiques de Jussieu - Paris Rive Gauche
2 UPCité - Université Paris Cité

Given a quasiperiodic cocycle in sl(2, R) sufficiently close to a constant, we prove that it is almost-reducible in ultradifferentiable class under an adapted arithmetic condition on the frequency vector.

Domaines: Systèmes dynamiques [math.DS]

Maxime Chatal, Claire Chavaudret. ALMOST REDUCIBILITY OF QUASIPERIODIC SL(2, R)-COCYCLES IN ULTRADIFFERENTIABLE CLASSES. Journal of Differential Equations, 2023, 356, pp.243-288. ⟨10.1016/j.jde.2023.01.041⟩. ⟨hal-03652944v2⟩