23 citations · 47 across the 17 of their papers we have counts for
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math.DS2017
Application of Morse index in weak force -body problem
Guowei Yu
Due to collision singularities, the Lagrange action functional of the N-body problem in general is not differentiable. Because of this, the usual critical point theory can not be a…
math.DS2017
Connecting planar linear chains in the spatial -body problem
Guowei Yu
The family of planar linear chains are found as collision-free action minimizers of the spatial -body problem with equal masses under or $D_N \times \zz_2$-symmetry constr…
math.DS2017★ 4 cited
Index Theory for Zero Energy Solutions of the Planar Anisotropic Kepler Problem
Xijun Hu, Guowei Yu
In the variational study of singular Lagrange systems, the zero energy solutions play an important role. In this paper we find a simple way of computing the Morse indices of these…