3 papers
math.DS2026
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…
math.DS2025
Spatially inhomogeneous two-cycles in an integrodifference equation
Kevin Church, Kevin Constantineau, Jean-Philippe Lessard
In this work, we prove the existence of a 2-cycle in an integrodifference equation with a Laplace kernel and logistic growth function, connecting two non-trivial fixed points of th…
math.DS2021
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…