1 citations · 3 across the 10 of their papers we have counts for
11 papers
Exclusion of Infinite Spin for N-body problem in
Xiang Yu, Lei Zhao
We show that there is no infinite spin at total collisions for -homogeneous N-body problem in higher dimensional Euclidean space , in which ( the…
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…
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.…
On the Stability of Lagrange Relative Equilibrium in The Planar Three-body Problem
Xiang Yu
Since the strong degeneracies present in the N-body problem, even in the basic case of the planar three-body problem, nobody inspects the problem of nonlinear stability of Lagrange…
On the Problem of Infinite Spin in Total Collisions of the Planar N-Body Problem
Xiang Yu
For the planar -body problem, we first introduce a class of moving frame suitable for orbits near central configurations, especially for total collision orbits, which is the mai…
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…
Central Configurations Formed By Two Twisted Regular Polygons
Xiang Yu, Shiqing Zhang
In this paper, we study the necessary conditions and sufficient conditions for the central configurations formed by two twisted regular polygons (one N-regular polygon and one L-re…
Action Minimizing Solutions of The One-Dimensional -Body Problem With Equal Masses
Xiang Yu, Shiqing Zhang
When we use variational methods to study the Newtonian -body problem, the main problem is how to avoid collisions. C.Marchal got a remarkable result, that is, a path minimizing…
Saari's Conjecture for Elliptical Type -Body Problem and An Application
Xiang Yu, Shiqing Zhang
By using an arithmetic fact, we will firstly prove Saari's conjecture in a particular case, which is called the Elliptical Type N-Body Problem, and then we apply it to prove that t…