1 citations · 1 across the 2 of their papers we have counts for
4 papers
Finiteness of Stationary Configurations of the Planar Four-vortex Problem
Xiang Yu
For the planar four-vortex problem, we show that there are finitely many stationary configurations consisting of equilibria, rigidly translating configurations, relative equilibria…
Regular polygonal equilibrium configurations on S^1 and stability of the associated relative equilibria
Xiang Yu, Shuqiang Zhu
For the curved n-body problem in S^3, we show that a regular polygonal configuration for n masses on a geodesic is an equilibrium configuration if and only if n is odd and the mass…
New homoclinic orbits for Hamiltonian systems with asymptotically quadratic growth at infinity
Dong-Lun Wu, Xiang Yu
In this paper, we study the existence and multiplicity of homoclinic solutions for following Hamiltonian systems with asymptotically quadratic nonlinearities at infinity \begin{eqn…
Classification of stacked central configurations in R^3
Xiang Yu, Shuqiang Zhu
We classify the extensions of n-body central configurations to (n + 1)-body central configurations in R3, in both the collinear case and the non-collinear case. We completely solve…