24 citations · 201 across the 32 of their papers we have counts for
4 papers · 1 filter
Contact Geometry of the Restricted Three-Body Problem on
Kursat Yilmaz, Alessandro Arsie
We study the contact geometry of the connected components of the energy hypersurface, in the symmetric restricted 3-body problem on , for a specific type of motion of…
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(…
Multiple Limit Cycles and Heteroclinic Loops in a Predator-prey System with Allee Effects in Prey
Alessandro Arsie, Chanaka Kottegoda, Chunhua Shan
The transition between strong and weak Allee effects in prey provides a simple regime shift in ecology. A deteriorating environment changes weak Allee effects into strong ones. In…