output
20092026
most citedOn the mathematically reliable long-term simulation of chaos of Lorenz equation in the interval [0,10000]

79 citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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Showing 2013 · nlin.CDShow all

3 papers · 2 filters

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…