3 papers
math.PR2025
An approximate solution of a case of perturbed Fokker-Planck equation
Yan Luo, Kaicheng Sheng
This paper focuses on finding an approximate solution of a kind of Fokker-Planck equation with time-dependent perturbations. A formulation of the approximate solution of the equati…
math.GM2025
Bifurcations of a nonlinear spherical pendulum with vibrating suspension point
Yan Luo, Kaicheng Sheng
This paper considers a nonlinear spherical pendulum whose suspension point performs high-frequency spatial vibrations. The dynamics of this pendulum can be described by averaging i…
math.DS2024
Stability analysis of the nonlinear pendulums under stochastic perturbations
Yan Luo, Kaicheng Sheng
We consider a nonlinear pendulum whose suspension point undergoes stochastic vibrations in its plane of motion. Stochastic vibrations are constructed by stochastic differential equ…