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math.DS2011★ 1 cited
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…
math.DS2011
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…