21 citations · 24 across the 7 of their papers we have counts for
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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…
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 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…