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math.DS2025
Stochastic Stability of Monotone Dynamical Systems. I. The Irreducible Cooperative Systems
Jifa Jiang, Xi Sheng, Yi Wang
The current series of papers is concerned with stochastic stability of monotone dynamical systems by identifying the basic dynamical units that can survive in the presence of noise…
math.DS2025
Stochastic Periodic Solutions for Newtonian Systems via Lyapunov Function
Junxia Duan, Jifa Jiang, Jie Xu
This paper establishes an existence theory for distributed periodic solutions to Newton's equation with stochastic time-periodic forcing, where the friction matrix is the Hessian o…