23 citations · 66 across the 8 of their papers we have counts for
4 papers · 1 filter
Constrained N-body problems
Wojciech Szumiński, Maria Przybylska
We consider a problem of mass points interacting gravitationally whose motion is subjected to certain holonomic constraints. The motion of points is restricted to certain curves an…
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…
Analysis of constrained 2-body problem
Wojciech Szumiński, Tomasz Stachowiak
We consider the system of two material points that interact by elastic forces according to Hooke's law and their motion is restricted to certain curves lying on the plane. The noni…
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…