4 papers
Platonic constellations of periodic motions in the -body problem
Kevin Constantineau, Carlos García-Azpeitia, Jean-Philippe Lessard
We study the spatial -body problem formed by one heavy central mass together with equal masses placed on a single orbit of a polyhedral rotation group , s…
Spatial relative equilibria and periodic solutions of the Coulomb -body problem
Kevin Constantineau, Carlos García-Azpeitia, Jean-Philippe Lessard
We study a classical model for the atom that considers the movement of charged particles of charge (electrons) interacting with a fixed nucleus of charge . We show th…
Braids of the N-body problem II: carousel solutions by cabling central configurations
Marine Fontaine, Carlos García-Azpeitia
We prove the existence of relative periodic solutions of the planar -body problem starting with bodies moving close to a non-degenerate central configuratio…
Global bifurcation of vortex and dipole solutions in Bose-Einstein condensates
Andres Contreras, Carlos García-Azpeitia
The Gross-Pitaevskii equation for a Bose-Einstein condensate (BEC) with symmetric harmonic trap is given in (1). Periodic solutions of (1) play an important role in the understandi…