17 citations · 20 across the 4 of their papers we have counts for
8 papers
Influence of database noises to machine learning for spatiotemporal chaos
Yu Yang, Shijie Qin, Shijun Liao
A new strategy, namely the "clean numerical simulation" (CNS), was proposed (J. Computational Physics, 418:109629, 2020) to gain reliable/convergent simulations (with negligible nu…
Accurate predictions of chaotic motion of a free fall disk
Tianzhuang Xu, Jing Li, Zhihui Li +1
It is important to know the accurate trajectory of a free fall object in fluid (such as a spacecraft), whose motion might be chaotic in many cases. However, it is impossible to acc…
Satellites of the Broucke-Hadjidemetriou-Hénon family of periodic unequal-mass three-body orbits
Xiaoming Li, Shijun Liao
The Broucke-Hadjidemetriou-Hénon's (BHH) orbits are a family of periodic orbits of the three-body system with the simplest topological free group word , while the BHH satellites…
One family of 13315 stable periodic orbits of the non-hierarchical unequal-mass triple system
Xiaoming Li, Xiaochen Li, Shijun Liao
The three-body problem has been studied for more than three centuries [1,2], and has received much attention in recent years [3-5]. It shows complex dynamical phenomena due to the…
On the risks of using double precision in numerical simulations of spatio-temporal chaos
Tianli Hu, Shijun Liao
Due to the butterfly-effect, computer-generated chaotic simulations often deviate exponentially from the true solution, so that it is very hard to obtain a reliable simulation of c…
A new non-perturbative approach in quantum mechanics for time-independent Schrödinger equations
Shijun Liao
A new non-perturbative approach is proposed to solve time-independent Schrödinger equations in quantum mechanics and chromodynamics (QCD). It is based on the homotopy analysis meth…