1. Exemples de hamiltoniens non intégrables en mécanique analytique réelle
- Author
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Michèle Audin, Institut de Recherche Mathématique Avancée (IRMA), Centre National de la Recherche Scientifique (CNRS)-Université Louis Pasteur - Strasbourg I, Université Louis Pasteur - Strasbourg I-Centre National de la Recherche Scientifique (CNRS), and Audin, Michèle
- Subjects
Pure mathematics ,Mathematics::Complex Variables ,système de Hénon-Heiles ,Differential equation ,théorie de Galois différentielle ,Galois group ,General Medicine ,Computer Science::Computers and Society ,[MATH.MATH-SG]Mathematics [math]/Symplectic Geometry [math.SG] ,Hamiltonian system ,Differential Galois theory ,[MATH.MATH-SG] Mathematics [math]/Symplectic Geometry [math.SG] ,systèmes intégrables ,Elliptic curve ,symbols.namesake ,Singularity ,Analytical mechanics ,monodromie ,équation de Lamé ,Lamé function ,symbols ,70H05, 53C15, 12Hxx, 34A30, 14H10, 14Pxx ,Systèmes hamiltoniens ,Mathematics - Abstract
International audience; I show some ways of applying the meromorphic non-integability theorems of Ziglin and Morales-Ramis to the {\em real} non-integrability of some Hamiltonian systems.
- Published
- 2003
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