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math.DS2018★ 4 cited
Relative periodic solutions of the n-vortex problem on the sphere
Carlos García-Azpeitia
This paper gives an analysis of the movement of n vortices on the sphere. When the vortices have equal circulation, there is a polygonal solution that rotates uniformly around its…
math.DS2018
Nonlinear Vibrations in the Fullerene Molecule
Carlos García-Azpeitia, Wieslaw Krawcewicz, Manuel Tejada-Wriedt +1
In this paper we analyze nonlinear dynamics of the fullerene molecule. We prove the existence of global branches of periodic solutions emerging from an icosahedral equilibrium (non…