21 citations · 24 across the 7 of their papers we have counts for
7 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…
On stability of planar solutions of double averaged restricted elliptic three-body problem
Anatoly Neishtadt, Kaicheng Sheng, Vladislav Sidorenko
Double averaged planar restricted elliptic three-body problem has a two-parametric family of stable equilibria. We show that these equilibria are stable in the linear approximation…
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…
Bifurcations of phase portraits of pendulum with vibrating suspension point
Anatoly Neishtadt, Kaicheng Sheng
We consider a simple pendulum whose suspension point undergoes fast vibrations in the plane of motion of the pendulum. The averaged over the fast vibrations system is a Hamiltonian…