24 citations · 25 across the 2 of their papers we have counts for
2 papers
nlin.SI2024★ 1 cited
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,…
nlin.SI2013★ 24 cited
A new integrable problem with a quartic integral in the dynamics of a rigid body
Hamad M. Yehia, Adel A. Elmandouh
We consider the problem of motion of a rigid body about a fixed point under the action of an axisymmetric combination of potential and gyroscopic forces. We introduce a new integra…