16 citations · 23 across the 7 of their papers we have counts for
9 papers
A new class of pyramidal central configurations for spatial Newtonian 6-body problems
Liang Ding, Jin Wang, Jinrong Wang +1
While a non-concyclic rhombus can support a central configuration in the planar Newtonian four-body problem, such a configuration cannot serve as the base of a pyramidal central co…
Degeneracy of Planar 4-body Kite Central Configurations: Restricted and Full Space Perspective
Shanzhong Sun, Zhifu Xie, Peng You
Based on our previously proposed direct approach to central configurations in the full configuration space, we study the degeneracy of planar four-body kite central configurations…
Concave Kite Central Configurations in the Planar Four-Body Problem with Three Equal Masses
Yangshanshan Liu, Zhifu Xie
We present a complete classification of concave kite central configurations in the planar 4-body problem with three equal masses. There are two different types of central configura…
On the Uniqueness of Convex Central Configurations in the Planar -Body Problem
Shanzhong Sun, Zhifu Xie, Peng You
In this paper, we provide a rigorous computer-assisted proof (CAP) of the conjecture that there exists a unique convex central configuration for any four fixed positive masses in a…
Hunting Co-operation in the Middle Predator in Three Species Food Chain Model
Nishchal Sapkota, Rimsha Bhatta, Phillip Dabney +1
We proposed a three-species food chain model with hunting co-operation among the middle predator. In this model, third species prey on the middle species and the middle prey on the…
Predator-Prey Interaction Model with Hunting Cooperation among Predators and Allee Effect in Prey
Aaditya Kharel, Zhifu Xie, Huiqing Zhu +2
This paper investigates a dynamical predator-prey interaction model that incorporates: (a) hunting cooperation among predators; (b) Allee effect in prey. We show all possible bound…
The Broucke-Hénon orbit and the Schubart Orbit in the planar three-body problem with equal masses
Wentian Kuang, Tiancheng Ouyang, Zhifu Xie +1
In this paper, we study the variational properties of two special orbits: the Schubart orbit and the Broucke-Hénon orbit. We show that under an appropriate topological constraint,…
A continuum of periodic solutions to the four-body problem with various choices of masses
Tiancheng Ouyang, Zhifu Xie
In this paper, we apply the variational method with the Structural Prescribed Boundary Conditions (SPBC) to prove the existence of periodic and quasi-periodic solutions for planar…
A new variational method with SPBC and many stable choreographic solutions of the Newtonian 4-body problem
Tiancheng Ouyang, Zhifu Xie
After the existence proof of the first remarkably stable simple choreographic motion-- the figure eight of the planar three-body problem by Chenciner and Montgomery in 2000, a grea…