79 citations · 1k across the 43 of their papers we have counts for
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nlin.CD2013★ 45 cited
Physical limit of prediction for chaotic motion of three-body problem
Shijun Liao
A half century ago, Lorenz found the "butterfly effect" of chaotic dynamic systems and made his famous claim that long-term prediction of chaos is impossible. However, the meaning…
nlin.CD2013★ 79 cited
On the mathematically reliable long-term simulation of chaos of Lorenz equation in the interval [0,10000]
Shijun Liao, Pengfei Wang
Using 1200 CPUs of the National Supercomputer TH-A1 and a parallel integral algorithm based on the 3500th-order Taylor expansion and the 4180-digit multiple precision data, we have…
nlin.CD2013★ 45 cited
Chaotic motion of three-body problem : an origin of macroscopic randomness of the universe
Shijun Liao
The famous three-body problem is investigated by means of a numerical approach with negligible numerical noises in a long enough time interval, namely the Clean Numerical Simulatio…