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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…
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…
Determination of stable branches of relative equilibria of the -vortex problem on the sphere
Kevin Constantineau, Carlos García-Azpeitia, Luis C García-Naranjo +1
We consider the -vortex problem on the sphere assuming that all vorticities have equal strength. We investigate relative equilibria (RE) consisting of latitudinal rings whic…
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…