3 citations · 4 across the 4 of their papers we have counts for
6 papers
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…
Lyapunov Exponents for Hamiltonian Systems under Small Lévy Perturbations
Ying Chao, Pingyuan Wei, Jinqiao Duan
This work is to investigate the (top) Lyapunov exponent for a class of Hamiltonian systems under small non-Gaussian Lévy noise. In a suitable moving frame, the linearisation of suc…
The role of slow manifolds in parameter estimation for a multiscale stochastic system with -stable Lévy noise
Ying Chao, Pingyuan Wei, Jinqiao Duan
This work is about parameter estimation for a fast-slow stochastic system with non-Gaussian -stable Lévy noise. When the observations are only available for slow components, a s…
Maximal Likely Phase Lines for a Reduced Ice Growth Model
Athanasios Tsiairis, Pingyuan Wei, Ying Chao +1
We study the impact of Brownian noise on transitions between metastable equilibrium states in a stochastic ice sheet model. Two methods to accomplish different objectives are emplo…
Transitions between Metastable States in a Simplified Model for the Thermohaline Circulation under Random Fluctuations
Daniel Tesfay, Pingyuan Wei, Yayun Zheng +2
In this work, we study the impact of non-Gaussian alpha-stable Levy motion on transitions between metastable equilibrium states (or attractors) in a stochastic Stommel two-box mode…
Hamiltonian Systems with Lévy Noise: Symplecticity, Hamilton's Principle and Averaging Principle
Pingyuan Wei, Ying Chao, Jinqiao Duan
This work focuses on topics related to Hamiltonian stochastic differential equations with Lévy noise. We first show that the phase flow of the stochastic system preserves symplecti…