On a galoisian approach to the splitting of separatrices
Juan J. Morales-Ruiz, Josep Maria Peris (1999)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Displaying similar documents to “Differential Galois approach to the non-integrability of the heavy top problem”
On a galoisian approach to the splitting of separatrices
Integrability of hamiltonian systems and differential Galois groups of higher variational equations
Juan J. Morales-Ruiz, Jean-Pierre Ramis, Carles Simó (2007)
Annales scientifiques de l'École Normale Supérieure
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Galois embedding of algebraic variety and its application to abelian surface
Hisao Yoshihara (2007)
Rendiconti del Seminario Matematico della Università di Padova
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Taylor obstruction to the integrability of homogeneous potentials of degree two. An application of higher order variational equations
Guillaume Duval, Andrzej J. Maciejewski (2011)
Banach Center Publications
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We show how using the differential Galois theory one can find effectively necessary conditions for the integrability of Hamiltonian systems with homogeneous potentials.
Differential Galois realization of double covers
Teresa Crespo, Zbigniew Hajto (2002)
Annales de l’institut Fourier
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An effective construction of homogeneous linear differential equations of order 2 with Galois group or is presented.
On the inverse problem of Galois theory.
Núria Vila (1992)
Publicacions Matemàtiques
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The problem of the construction of number fields with Galois group over Q a given finite groups has made considerable progress in the recent years. The aim of this paper is to survey the current state of this problem, giving the most significant methods developed in connection with it.
Solvable-by-finite groups as differential Galois groups
Claude Mitschi, Michael F. Singer (2002)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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