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.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…
astro-ph.EP2024
Stability analysis of spatial perturbed elliptic restricted 3-body problem with double-averaging
Yan Luo, Kaicheng Sheng
This paper investigates the secular motion of a massless asteroid within the framework of the double-averaged elliptic restricted three-body problem. By employing Poincaré variable…