Browsing by Subject "Hamiltonian systems"

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  • First integrals of affine connections and Hamiltonian systems of hydrodynamic type 

    Contatto, F; Dunajski, Maciej Lukasz (Oxford University PressJournal of Integrable Systems, 2016-12-23)
    We find necessary and sufficient conditions for a local geodesic flow of an affine connection on a surface to admit a linear first integral. The conditions are expressed in terms of two scalar invariants of differential ...