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

Guillaume Duval; Andrzej J. Maciejewski

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

Guillaume Duval; Andrzej J. Maciejewski

Banach Center Publications (2011)

Volume: 94, Issue: 1, page 173-185
ISSN: 0137-6934

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Abstract

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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.

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Guillaume Duval, and Andrzej J. Maciejewski. "Taylor obstruction to the integrability of homogeneous potentials of degree two. An application of higher order variational equations." Banach Center Publications 94.1 (2011): 173-185. <http://eudml.org/doc/282175>.

@article{GuillaumeDuval2011,
abstract = {We show how using the differential Galois theory one can find effectively necessary conditions for the integrability of Hamiltonian systems with homogeneous potentials.},
author = {Guillaume Duval, Andrzej J. Maciejewski},
journal = {Banach Center Publications},
keywords = {differential Galois theory; natural Hamiltonian system; Darboux point; non-resonant oscillator},
language = {eng},
number = {1},
pages = {173-185},
title = {Taylor obstruction to the integrability of homogeneous potentials of degree two. An application of higher order variational equations},
url = {http://eudml.org/doc/282175},
volume = {94},
year = {2011},
}

TY - JOUR
AU - Guillaume Duval
AU - Andrzej J. Maciejewski
TI - Taylor obstruction to the integrability of homogeneous potentials of degree two. An application of higher order variational equations
JO - Banach Center Publications
PY - 2011
VL - 94
IS - 1
SP - 173
EP - 185
AB - We show how using the differential Galois theory one can find effectively necessary conditions for the integrability of Hamiltonian systems with homogeneous potentials.
LA - eng
KW - differential Galois theory; natural Hamiltonian system; Darboux point; non-resonant oscillator
UR - http://eudml.org/doc/282175
ER -

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