Reducibility of quasi-periodically forced circle flows

Saša Kocić; João Lopes Dias

doi:10.3934/dcds.2020229

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2020, Volume 40, Issue 9: 5325-5345. Doi: 10.3934/dcds.2020229

This issue Previous Article Interior and boundary regularity for the Navier-Stokes equations in the critical Lebesgue spaces Next Article Polynomial 3-mixing for smooth time-changes of horocycle flows

Reducibility of quasi-periodically forced circle flows

Saša Kocić^1, , and
João Lopes Dias^2,

1.
Department of Mathematics, University of Mississippi, Hume Hall 305, University, MS 38677, USA
2.
Departamento de Matemática, ISEG, Universidade de Lisboa, Rua do Quelhas 6, 1200-781 Lisboa, Portugal

^* Corresponding author: Saša Kocić
^* Corresponding author: Saša Kocić

Received: September 30, 2019

Published: June 2020

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Abstract

We develop a renormalization group approach to the problem of reducibility of quasi-periodically forced circle flows. We apply the method to prove a reducibility theorem for such flows.

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Mathematics Subject Classification: Primary: 37E10, 37F25.

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References

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