On integrable perturbations of harmonic oscillator
2001 (English)In: Reports on mathematical physics, ISSN 0034-4877, E-ISSN 1879-0674, ISSN 0034-4877, Vol. 48, 139-147 p.Article in journal (Refereed) Published
Integrable perturbations of the two-dimensional harmonic oscillator are studied with the use of the recently developed theory of quasi-Lagrangian equations. For the case of nonequal frequencies all quadratic perturbations admitting two integrals of motion which are quadratic in velocities are found. A non-potential generalization of the KdV integrable case of the Hénon—Heiles system is obtained.
Place, publisher, year, edition, pages
2001. Vol. 48, 139-147 p.
integrable perturbations; bi-Hamiltonian systems; quasi-Lagrangian equations; Hénon—Heiles system
IdentifiersURN: urn:nbn:se:liu:diva-50979DOI: 10.1016/S0034-4877(01)80073-2OAI: oai:DiVA.org:liu-50979DiVA: diva2:272451