23 citations · 66 across the 8 of their papers we have counts for
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nlin.SI2016★ 23 cited
Note on integrability of certain homogeneous Hamiltonian systems
Wojciech Szumiński, A. J. Maciejewski, Maria Przybylska
In this paper we investigate a class of natural Hamiltonian systems with two degrees of freedom. The kinetic energy depends on coordinates but the system is homogeneous. Thanks to…
nlin.SI2016★ 11 cited
Note on integrability of certain homogeneous Hamiltonian systems in 2D constant curvature spaces
Andrzej J. Maciejewski, Wojciech Szumiński, Maria Przybylska
We formulate the necessary conditions for the integrability of a certain family of Hamiltonian systems defined in the constant curvature two-dimensional spaces. Proposed form of po…