10 citations · 13 across the 6 of their papers we have counts for
7 papers
On the vanishing viscosity limit of Hamilton-Jacobi equations with nearly optimal discount
Zibo Wang, Jianlu Zhang
In this paper, we establish the convergence of solutions to the viscous Hamilton-Jacobi equation (with a Tonelli Hamiltonian): \[ λu +H(x, du)=\varepsilon(λ)Δu,\quad λ>0 \] as $λ\r…
Stochastic Perturbations in the Fractional Nonlinear Schrödinger Equation: Well-posedness and Blow-up
Ao Zhang, Yanjie Zhang, Jinqiao Duan
This work investigates radial solutions for nonlinear fractional Schrödinger equations driven by multiplicative noise. Leveraging radial deterministic and stochastic Strichartz est…
Bifurcation and chaotic behaviour in stochastic Rosenzweig-MacArthur prey-predator model with non-Gaussian stable Lévy noise
Shenglan Yuan, Zibo Wang
We perform dynamical analysis on a stochastic Rosenzweig-MacArthur model driven by α-stable Lévy motion. We analyze the existence of the equilibrium points, and provide a clear ill…
Homogenization of Dissipative Hamiltonian Systems under Lévy Fluctuations
Zibo Wang, Li Lv, Jinqiao Duan
This work is devoted to deriving small mass limiting equation for a class of Hamiltonian systems with multiplicative Lévy noise. Derivation of the limiting equation depends on the…
Formulation of Stochastic Contact Hamiltonian Systems
Pingyuan Wei, Zibo Wang
In this work we devise a stochastic version of contact Hamiltonian systems, and show that the phase flows of these systems preserve contact structures. Moreover, we provide a suffi…
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…
Analysis of multiscale methods for stochastic dynamical systems driven by -stable processes
Yanjie Zhang, Xiao Wang, Zibo Wang +1
In this paper, we first analyze the strong and weak convergence of projective integration methods for multiscale stochastic dynamical systems driven by -stable processes, which…