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Absolutely Convergent Series Expansions For Quasi Periodic Motions (1996)
by
L. H. Eliasson
| Citations: | 81 - 0 self |
BibTeX
@MISC{Eliasson96absolutelyconvergent,
author = {L. H. Eliasson},
title = {Absolutely Convergent Series Expansions For Quasi Periodic Motions},
year = {1996}
}
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Abstract
this paper we shall describe the Lindstedt series together with a natural quasi-periodic series expansion, and we shall explain why it is absolutely divergent. We shall then describe a large class of compensations for the terms in the series expansion, and by taking into account these compensations, we shall obtain new quasi-periodic series which are absolutely convergent. This we shall prove by generalizing Siegel's method
