157 citations · 220 across the 6 of their papers we have counts for
6 papers
A deep learning framework for jointly solving transient Fokker-Planck equations with arbitrary parameters and initial distributions
Xiaolong Wang, Jing Feng, Qi Liu +3
Efficiently solving the Fokker-Planck equation (FPE) is central to analyzing complex parameterized stochastic systems. However, current numerical methods lack parallel computation…
Stochastic resonance in higher-order networks driven by colored noise
Zhongwen Bi, Dan Zhao, Qi Liu +2
We investigate stochastic resonance (SR) in an ensemble of coupled overdamped bistable oscillators driven by colored noise. The networks incorporate the weighted contributions of b…
Flutter Suppression Enhancement in Coupled Nonlinear Airfoils with Intermittent Mixed Interactions
Qi Liu, Riccardo Muolo, Hiroya Nakao +1
Flutter suppression facilitates the improvement of structural reliability to ensure the flight safety of an aircraft. In this study, we propose a novel strategy for enlarging ampli…
Rate-dependent bifurcation dodging in a thermoacoustic system driven by colored noise
Xiaoyu Zhang, Yong Xu, Qi Liu +2
Tipping in multistable systems occurs usually by varying the input slightly, resulting in the output switching to an often unsatisfactory state. This phenomenon is manifested in th…
Rate-dependent tipping-delay phenomenon in a thermoacoustic system with colored noise
Xiaoyu Zhang, Yong Xu, Qi Liu +1
Tipping is a phenomenon in multistable systems where small changes in inputs cause huge changes in outputs. When the parameter varies within a certain time scale, the rate will aff…
Solving Fokker-Planck equation using deep learning
Yong Xu, Hao Zhang, Yongge Li +3
The probability density function of stochastic differential equations is governed by the Fokker-Planck (FP) equation. A novel machine learning method is developed to solve the gene…