4 papers
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…
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…
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…
Linear stability of inner case of double averaged spatial restricted elliptic three body problem
Xiumin Huang, Yan Luo, Kaicheng Sheng +1
We study the secular effects in the motion of an asteroid with negligible mass in a spatial restricted elliptic three body problem with arbitrary inclination. Averaging over mean a…