Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5499961 | Journal of Geometry and Physics | 2017 | 9 Pages |
Abstract
We study the logarithmic Hamiltonians H=(px2+py2)â2+log(1+x2+y2âq2)1â2, which appear in the study of the galactic dynamics. We characterize all the invariant algebraic hypersurfaces and all exponential factors of the Hamiltonian system with Hamiltonian H. We prove that this Hamiltonian system is completely integrable with Darboux first integrals if and only if q=±1.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Jaume Llibre, Clà udia Valls,