45 citations · 133 across the 45 of their papers we have counts for
3 papers · 2 filters
Dynamics of the the dihedral four-body problem
Davide L. Ferrario, Alessandro Portaluri
Consider four point particles with equal masses in the euclidean space, subject to the following symmetry constraint: at each instant they are symmetric with respect to the dihedra…
Global dynamics of stationary, dihedral, nearly-parallel vortex filaments
Francesco Paparella, Alessandro Portaluri
The goal of this paper is to give a detailed analytical description of the global dynamics of N points interacting through the singular logarithmic potential and subject to the fol…
Global dynamics under a weak potential on a sphere
Roberto Castelli, Francesco Paparella, Alessandro Portaluri
We give a detailed analytical description of the global dynamics of a point mass moving on a sphere under the action of a logarithmic potential. After performing a McGehee-type blo…