Article ID Journal Published Year Pages File Type
5499961 Journal of Geometry and Physics 2017 9 Pages PDF
Abstract
We study the logarithmic Hamiltonians H=(px2+py2)∕2+log(1+x2+y2∕q2)1∕2, 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
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