18 citations · 24 across the 8 of their papers we have counts for
5 papers · 1 filter
Mean escape time for randomly switching narrow gates in a cellular flow
Hui Wang, Jinqiao Duan, Xianguo Geng +1
The escape of particles through a narrow absorbing gate in confined domains is a abundant phenomenon in various systems in physics, chemistry and molecular biophysics. We consider…
Bifurcation in mean phase portraits for stochastic dynamical systems with multiplicative Gaussian noise
Hui Wang, Athanasios Tsiairis, Jinqiao Duan
We investigate the bifurcation phenomena for stochastic systems with multiplicative Gaussian noise, by examining qualitative changes in mean phase portraits. Starting from the Fokk…
Geometric Methods for Stochastic Dynamical Systems
Jinqiao Duan, Hui Wang
Noisy fluctuations are ubiquitous in complex systems. They play a crucial or delicate role in the dynamical evolution of gene regulation, signal transduction, biochemical reactions…
Most Probable Evolution Trajectories in a Genetic Regulatory System Excited by Stable Lévy Noise
Xiujun Cheng, Hui Wang, Xiao Wang +2
We study the most probable trajectories of the concentration evolution for the transcription factor activator in a genetic regulation system, with non-Gaussian stable Lévy noise in…
A Stochastic Pitchfork Bifurcation in Most Probable Phase Portraits
Hui Wang, Xiaoli Chen, Jinqiao Duan
We study stochastic bifurcation for a system under multiplicative stable Levy noise (an important class of non-Gaussian noise), by examining the qualitative changes of equilibrium…