Borel summability and Lindstedt series

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dc.creatorCostin, O.
dc.creatorGallavotti, G.
dc.creatorGentile, G.
dc.creatorGiuliani, A.
dc.date2006-01-15
dc.date.accessioned2026-07-07T07:50:50Z
dc.date.available2026-07-07T07:50:50Z
dc.descriptionResonant motions of integrable systems subject to perturbations may continue to exist and to cover surfaces with parametric equations admitting a formal power expansion in the strength of the perturbation. Such series may be, sometimes, summed via suitable sum rules defining $C^\infty$ functions of the perturbation strength: here we find sufficient conditions for the Borel summability of their sums in the case of two-dimensional rotation vectors with Diophantine exponent $τ=1$ (e. g. with ratio of the two independent frequencies equal to the golden mean).
dc.description17 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/math-ph/0601032
dc.identifierhttp://arxiv.org/abs/math-ph/0601032
dc.identifierCommunications in Mathematical Physics, 269, 175-193, 2006
dc.identifierdoi:10.1007/s00220-006-0079-0
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/125300
dc.subjectMathematical Physics
dc.subject37J40; 37C55; 70K43; 70H08
dc.titleBorel summability and Lindstedt series
dc.typetext

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