79 citations · 1k across the 43 of their papers we have counts for
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The 1223 new periodic orbits of planar three-body problem with unequal mass and zero angular momentum
Xiaoming Li, Yipeng Jing, Shijun Liao
We present 1349 families of Newtonian periodic planar three-body orbits with unequal mass and zero angular momentum and the initial conditions in case of isosceles collinear config…
On the Limiting Stokes' Wave of Extreme Height in Arbitrary Water Depth
Xiaoxu Zhong, Shijun Liao
As mentioned by Schwartz (1974) and Cokelet (1977), it was failed to gain convergent results of limiting Stokes' waves in extremely shallow water by means of perturbation methods e…
Influence of round-off errors on the reliability of numerical simulations of chaotic dynamic systems
Shijie Qin, Shijun Liao
We illustrate that, like the truncation error, the round-off error has a significant influence on the reliability of numerical simulations of chaotic dynamic systems. Due to the bu…
More than six hundreds new families of Newtonian periodic planar collisionless three-body orbits
Xiaoming Li, Shijun Liao
The famous three-body problem can be traced back to Isaac Newton in 1680s. In the 300 years since this "three-body problem" was first recognized, only three families of periodic so…