47 citations · 95 across the 21 of their papers we have counts for
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math.DS2014★ 2 cited
Noncollision Singularities in a Planar Four-body Problem
Jinxin Xue
In this paper, we show that there is a Cantor set of initial conditions in the planar four-body problem such that all four bodies escape to infinity in a finite time, avoiding coll…
math.DS2014★ 5 cited
Existence of noncontractible periodic orbits of Hamiltonian system separating two Lagrangian tori on $T^*\T^n$ with application to non convex Hamiltonian systems
Jinxin Xue
In this paper, we show the existence of non contractible periodic orbits in Hamiltonian systems defined on $T^*\T^n$ separating two Lagrangian tori under certain cone assumption. O…