79 citations · 1k across the 43 of their papers we have counts for
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nlin.CD2017★ 51 cited
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…
nlin.CD2017★ 6 cited
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…
nlin.CD2017★ 56 cited
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…