39 citations · 163 across the 22 of their papers we have counts for
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math.DS2018★ 16 cited
Choreographies in the -vortex problem
Renato Calleja, Eusebius Doedel, Carlos García-Azpeitia
We consider the equations of motion of vortices of equal circulation in the plane, in a disk and on a sphere. The vortices form a polygonal equilibrium in a rotating frame of r…
math.DS2018★ 4 cited
Choreographies in the Discrete Nonlinear Schrödinger Equations
Renato Calleja, Eusebius Doedel, Carlos García-Azpeitia +1
We study periodic solutions of the discrete nonlinear Schrödinger equation (DNLSE) that bifurcate from a symmetric polygonal relative equilibrium containing sites. With special…