3 citations · 4 across the 6 of their papers we have counts for
6 papers
Adaptive dynamics of alternating Prisoner's Dilemma with memory N
Nataliya A. Balabanova, Hong Duong, Christian Hilbe
The Prisoner's Dilemma is used as a model in processes involving reciprocity; however, its classical setup can be insufficient in settings where the symmetry of the simultaneous de…
A note on the geometry of the two-body problem on
Alessandro Arsie, Nataliya A. Balabanova
Leveraging on the results of arXiv:2210.13644 , we carry out an investigation of the algebraic three-fold , the common level set of the Hamiltonian and the Casimir, for th…
Collision trajectories and regularisation of two-body problem on
Alessandro Arsie, Nataliya A. Balabanova
In this paper, we investigate collision orbits of two identical bodies placed on the surface of a two-dimensional sphere and interacting via an attracting potential of the form $V(…
A Hamiltonian approach for point vortices on non-orientable surfaces II: the Klein bottle
Nataliya A. Balabanova
This is the second of two companion papers dedicated to the investigation of vortex motion on non-orientable surfaces. The first paper of the pair is predominantly concerned with e…
A Hamiltonian approach for point vortices on non-orientable surfaces
Nataliya A. Balabanova, James Montaldi
We investigate the motion of point vortices on the Mobius band and Klein bottle. Since these are non-orientable surfaces, the standard Hamiltonian approach does not apply. We there…
Two body problem on a sphere in the presence of a uniform magnetic field
Nataliya A. Balabanova, James Montaldi
We investigate the motion of one and two charged non-relativistic particles on a sphere in the presence of a magnetic field of uniform strength. For one particle, the motion is alw…