A necessary condition for the integrability of homogeneous Hamiltonian systems with two degrees of freedom

Authors
Nakagawa, K Yoshida, H
Citation
K. Nakagawa et H. Yoshida, A necessary condition for the integrability of homogeneous Hamiltonian systems with two degrees of freedom, J PHYS A, 34(11), 2001, pp. 2137-2148
Citations number
14
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
34
Issue
11
Year of publication
2001
Pages
2137 - 2148
Database
ISI
SICI code
0305-4470(20010323)34:11<2137:ANCFTI>2.0.ZU;2-E
Abstract
A necessary condition for the integrability of Hamiltonian systems with a t wo-dimensional homogeneous potential, due to Morales-Ruiz and Ramis, is ext ended for more general Hamiltonian systems of the form H = T(p) + V(q), wit h homogeneous functions T(p) and V(q).