1 citations · 1 across the 5 of their papers we have counts for
13 papers
Symbolic Computations of the Two-Colored Diagrams for Central Configurations of the Planar N-vortex Problem
Xiang Yu, Shuqiang Zhu
We apply the singular sequence method to investigate the finiteness problem for stationary configurations of the planar N-vortex problem. The initial step of the singular sequence…
Two Colored Diagrams for Central Configurations of the Planar Five-vortex Problem
Xiang Yu, Shuqiang Zhu
We apply the singular sequence method to investigate the finiteness problem for stationary configurations of the planar five-vortex problem. The initial step of the singular sequen…
The Schubart orbits on the circle
Shuqiang Zhu
We consider the three body problem on under the cotangent potential. We first construct homothetic orbits ending in singularities, including total collision singularity and c…
Odd index of the amended potential implies linear instability
Yanxia Deng, Shuqiang Zhu
For a relative equilibrium of a symmetric simple mechanical system, if the Morse index of the corresponding amended potential is odd, whether the nullity is zero or not, it is line…
On Finiteness of Stationary Configurations of the Planar Five-vortex Problem
Xiang Yu, Shuqiang Zhu
The finiteness problem of stationary configurations for the planar five-vortex problem is considered in this paper. The numbers of equilibria and rigidly translating configurations…
On the finiteness of four-body central configurations
Xiang Yu, Shuqiang Zhu
The number of central configurations in the four body problem was proved to be finite, first by Hampton and Moeckel, then by Albouy and Kaloshin, when the masses are all positive.…