17 citations · 43 across the 41 of their papers we have counts for
7 papers · 1 filter
Stacked central configurations with a homogeneous potential in
Yangshanshan Liu, Shiqing Zhang
In this paper we generalize some results in \cite{Yu2021} concerning stacked central configurations. We can deal with the general homogeneous potential (containing the vortex…
The central configuration of the planar (+1)-body problem with a regular -polygon
Liang Ding, Jinlong Wei, Shiqing Zhang
For planar (+1)-body (\, 2) problem with a regular -polygon, under the assumption that the (+1)-th body locates at the geometric center of the regular -polygon…
Choreography solutions of the -body problem on
Juan Manuel Sánchez-Cerritos, Shiqing Zhang
We try to prove the existence of choreography solutions for the body problem on . For the three-body problem, we show the existence of the 8-shape orbit on .
On mountain pass theorem and its application to periodic solutions of some nonlinear discrete systems
Liang Ding, Jinlong Wei, Shiqing Zhang
We obtain a new quantitative deformation lemma, and then gain a new mountain pass theorem. More precisely, the new mountain pass theorem is independent of the functional value on t…
Four-body Central Configurations with Adjacent Equal Masses
Yiyang Deng, Bingyu Li, Shiqing Zhang
For any convex non-collinear central configuration of the planar Newtonian 4-body problem with adjacent equal masses , with equal lengths for the two diagonals…
A Note on Homoclinic Orbits for Second Order Hamiltonian Systems
Bingyu Li, Fengying Li, Donglun Wu +1
In this paper, we study the existence for the homoclinic orbits for the second order Hamiltonian systems. Under suitable conditions on the potential , we apply the direct method…
Parabolic Orbits for a Class of Singular Hamiltonian Systems with a Fixed Energy
Donglun Wu, Shiqing Zhang
The existence of parabolic orbits is obtained for a class of singular Hamiltonian systems by taking limit for a sequence of non-collision periodic so…