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Showing 2013 · math.DSShow all
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math.DS2013
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…
math.DS2013★ 16 cited
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…