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math-ph2015★ 30 cited
Classification and stability of relative equilibria for the two-body problem in the hyperbolic space of dimension 2
Luis C. García-Naranjo, Juan C. Marrero, Ernesto Pérez-Chavela +1
We classify and analyze the stability of all relative equilibria for the two-body problem in the hyperbolic space of dimension 2 and we formulate our results in terms of the intrin…
math-ph2008
On polygonal relative equilibria in the N-vortex problem
Martin Celli, Ernesto A. Lacomba, Ernesto Pérez-Chavela
Helmholtz's equations provide the motion of a system of N vortices which describes a planar incompressible fluid with zero viscosity. A relative equilibrium is a particular solutio…