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Article Dans Une Revue Nonlinearity Année : 2004

Borel summation of adiabatic invariants

Ovidiu Costin
  • Fonction : Auteur
Martin Kruskal
  • Fonction : Auteur

Résumé

Borel summation techniques are developed to obtain exact invariants from formal adiabatic invariants (given as divergent series in a small parameter) for a class of differential equations, under assumptions of analyticity of the coefficients. The method relies on the study of associated partial differential equations in the complex plane. The type and location of the singularities of these associated functions, important in determining exponentially small corrections to formal invariants, are also briefly discussed.
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Dates et versions

hal-00009119 , version 1 (27-09-2005)

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  • HAL Id : hal-00009119 , version 1

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Ovidiu Costin, Louis Dupaigne, Martin Kruskal. Borel summation of adiabatic invariants. Nonlinearity, 2004, 17, pp.509--519. ⟨hal-00009119⟩
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