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- W2743244908 abstract "Abstract We study the logarithmic Hamiltonians H = ( p x 2 + p y 2 ) ∕ 2 + log ( 1 + x 2 + y 2 ∕ q 2 ) 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 ." @default.
- W2743244908 created "2017-08-17" @default.
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- W2743244908 date "2017-11-01" @default.
- W2743244908 modified "2023-10-17" @default.
- W2743244908 title "On the Darboux integrability of the logarithmic galactic potentials" @default.
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- W2743244908 doi "https://doi.org/10.1016/j.geomphys.2017.07.019" @default.
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