23 citations · 47 across the 17 of their papers we have counts for
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math.DS2015★ 2 cited
Simple choreographies of the planar Newtonian -body Problem
Guowei Yu
In the -body problem, a simple choreography is a periodic solution, where all masses chase each other on a single loop. In this paper we prove that for the planar Newtonian -…
math.DS2015★ 2 cited
Shape Space Figure- Solution of Three Body Problem with Two Equal Masses
Guowei Yu
In a preprint by Montgomery \cite{Mo99}, the author attempted to prove the existence of a shape space Figure- solution of the Newtonian three body problem with two equal masses…
math.DS2015
Periodic Solutions of the Planar N-Center Problem with topological constraints
Guowei Yu
In the planar -center problem, for a non-trivial free homotopy class of the configuration space satisfying certain mild condition, we show that there is at least one collision f…