Searching for integrable systems. An application of Kozlov theorem

Citation
K. Gozdziewski et al., Searching for integrable systems. An application of Kozlov theorem, REP MATH PH, 46(1-2), 2000, pp. 175-182
Citations number
12
Categorie Soggetti
Physics
Journal title
REPORTS ON MATHEMATICAL PHYSICS
ISSN journal
00344877 → ACNP
Volume
46
Issue
1-2
Year of publication
2000
Pages
175 - 182
Database
ISI
SICI code
0034-4877(200008/10)46:1-2<175:SFISAA>2.0.ZU;2-K
Abstract
We apply a theorem of Kozlov to search for integrable cases in two families of Hamiltonian systems. We show that this approach allows us to find the k nown integrable case and selects a new case which is not completely integra ble but, as we conjecture, can be partially integrable on a certain energy level.