4 papers · 1 filter
Geometric Methods for Stochastic Dynamical Systems
Jinqiao Duan, Ting Gao, Qiao Huang +1
Geometric methods are indispensable for analyzing, predicting, and mitigating the complex behaviors inherent in nonlinear systems. In this regime, the most probable transition path…
On the Stochastic Singular Cucker--Smale Model: Well-Posedness, Collision-Avoidance and Flocking
Qiao Huang, Xiongtao Zhang
We study the Cucker--Smale (C-S) flocking systems involving both singularity and noise. We first show the local strong well-posedness for the stochastic singular C-S systems before…
Weak averaging principle for multiscale stochastic dynamical systems driven by stable processes
Yanjie Zhang, Qiao Huang, Xiao Wang +2
We study the averaging principle for a family of multiscale stochastic dynamical systems. The fast and slow components of the systems are driven by two independent stable Lévy nois…
Numerical analysis and applications of Fokker-Planck equations for stochastic dynamical systems with multiplicative -stable noises
Yanjie Zhang, Xiao Wang, Qiao Huang +2
The Fokker-Planck equations (FPEs) for stochastic systems driven by additive symmetric -stable noises may not adequately describe the time evolution for the probability densitie…