Taylor obstruction  to the
integrability of homogeneous potentials of degree two.
An application of higher order variational equations

Guillaume Duval; Andrzej J. Maciejewski

doi:10.4064/bc94-0-10

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Taylor obstruction to the integrability of homogeneous potentials of degree two. An application of higher order variational equations

Volume 94 / 2011

Guillaume Duval, Andrzej J. Maciejewski Banach Center Publications 94 (2011), 173-185 MSC: 70Hxx, 37J30. DOI: 10.4064/bc94-0-10

Abstract

We show how using the differential Galois theory one can find effectively necessary conditions for the integrability of Hamiltonian systems with homogeneous potentials.

Authors

Guillaume DuvalLaboratoire de Mathématiques et d'Informatique (LMI)
INSA de Rouen
Avenue de l'Université
76 801 Saint Etienne du Rouvray Cedex, France
e-mail
Andrzej J. MaciejewskiJ. Kepler Institute of Astronomy
University of Zielona Góra
Licealna 9
65-417 Zielona Góra, Poland
e-mail

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