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

Maxime Chatal; Claire Chavaudret

doi:10.1016/j.jde.2023.01.041

Journal Articles Journal of Differential Equations Year : 2023

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

(1, 2) , (1, 2)

1
2

Maxime Chatal

Function : Author

Institut de Mathématiques de Jussieu - Paris Rive Gauche

Université Paris Cité

Claire Chavaudret

Function : Author

Institut de Mathématiques de Jussieu - Paris Rive Gauche

Université Paris Cité

Abstract

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.

Domains

Dynamical Systems [math.DS]

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https://hal.science/hal-03652944

Submitted on : Tuesday, May 24, 2022-10:05:47 AM

Last modification on : Saturday, April 27, 2024-3:15:22 AM

Dates and versions

hal-03652944 , version 1 (27-04-2022)

hal-03652944 , version 2 (24-05-2022)

Identifiers

HAL Id : hal-03652944 , version 2
ARXIV : 2204.13306
DOI : 10.1016/j.jde.2023.01.041

Cite

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⟩

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

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