On integrable perturbations of harmonic oscillator

Authors
Marciniak, K Rauch-Wojciechowski, S
Citation
K. Marciniak et S. Rauch-wojciechowski, On integrable perturbations of harmonic oscillator, REP MATH PH, 48(1-2), 2001, pp. 139-147
Citations number
9
Categorie Soggetti
Physics
Journal title
REPORTS ON MATHEMATICAL PHYSICS
ISSN journal
00344877 → ACNP
Volume
48
Issue
1-2
Year of publication
2001
Pages
139 - 147
Database
ISI
SICI code
0034-4877(200108/10)48:1-2<139:OIPOHO>2.0.ZU;2-D
Abstract
Integrable perturbations of the two-dimensional harmonic oscillator are stu died with the use of the recently developed theory of quasi-Lagrangian equa tions. For the case of nonequal frequencies all quadratic perturbations adm itting two integrals of motion which are quadratic in velocities are found. A non-potential generalization of the KdV integrable case of the Henon-Hei les system is obtained.