Reducibility of skew-product systems with multidimensional Brjunobase flows

Saša Kocić

doi:10.3934/dcds.2011.29.261

Article Contents

2011, Volume 29, Issue 1: 261-283. Doi: 10.3934/dcds.2011.29.261

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Reducibility of skew-product systems with multidimensional Brjuno base flows

Saša Kocić^1,

1.
IMPA, Estrada Dona Castorina 110, Rio de Janeiro, 22460-320

Received: September 30, 2009

Revised: January 31, 2010

Published: December 2010

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Abstract

We develop a renormalization method that applies to the problem of the local reducibility of analytic skew-product flows on T^d $\times$ SL(2,R). We apply the method to give a proof of a reducibility theorem for these flows with Brjuno base frequency vectors.

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Mathematics Subject Classification: Primary: 37E20; Secondary: 37C10, 37C60.

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References

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