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math.DS2016★ 17 cited
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…
math.DS2014★ 1 cited
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…
math.DS2012
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…