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

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 -