23 citations · 66 across the 8 of their papers we have counts for
3 papers · 1 filter
Integrability of certain Hamiltonian systems in variable curvature spaces
Wojciech Szumiński, Adel A. Elmandouh
The objective of this work is to examine the integrability of Hamiltonian systems in spaces with variable curvature of certain types. Based on the differential Galois theory,…
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…
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…