Real almost reducibility of differentiable real quasi-periodic cocycles

Real almost reducibility of differentiable real quasi-periodic cocycles

We prove that infinitely differentiable almost reducible quasi-periodic cocycles, under a Diophantine condition on the frequency vector, are almost reducible to a sequence of real constant cocycles with a sequence of real conjugations, up to a period doubling.

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Veröffentlicht in:arXiv.org 2024-11
Hauptverfasser: Chatal, Maxime, Chavaudret, Claire, Eliasson, L Hakan
Format: Artikel
Sprache:eng
Schlagworte:
Period doubling
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Zusammenfassung:We prove that infinitely differentiable almost reducible quasi-periodic cocycles, under a Diophantine condition on the frequency vector, are almost reducible to a sequence of real constant cocycles with a sequence of real conjugations, up to a period doubling.
ISSN:2331-8422