Resurgent methods in semi-classical asymptotics
Eric Delabaere, Frédéric Pham (1999)
Annales de l'I.H.P. Physique théorique
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Eric Delabaere, Frédéric Pham (1999)
Annales de l'I.H.P. Physique théorique
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T. F. Pankratova (1995)
Annales de l'I.H.P. Physique théorique
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Boele Braaksma, Robert Kuik (2004)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Vassili Gelfreich, David Sauzin (2001)
Annales de l’institut Fourier
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We study two complex invariant manifolds associated with the parabolic fixed point of the area-preserving Hénon map. A single formal power series corresponds to both of them. The Borel transform of the formal series defines an analytic germ. We explore the Riemann surface and singularities of its analytic continuation. In particular we give a complete description of the “first” singularity and prove that a constant, which describes the splitting of the invariant manifolds, does not vanish....
Tosio Kato, Kyûya Masuda (1986)
Annales de l'I.H.P. Analyse non linéaire
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