## Bifurcations of phase portraits of spherical pendulum with vibrating suspension point. (arXiv:1708.01313v1 [math.GM])

We consider a spherical pendulum whose suspension point performs high-frequency oscillations. We derive the averaged over these oscillations Hamiltonian of the problem. We assume that these oscillations are such that the averaged Hamiltonian is invariant with respect to rotations about the vertical direction. Under this assumption we give complete description of bifurcations of phase portraits of the averaged system.查看全文

## Solidot 文章翻译

 你的名字 留空匿名提交 你的Email或网站 用户可以联系你 标题 简单描述 内容 We consider a spherical pendulum whose suspension point performs high-frequency oscillations. We derive the averaged over these oscillations Hamiltonian of the problem. We assume that these oscillations are such that the averaged Hamiltonian is invariant with respect to rotations about the vertical direction. Under this assumption we give complete description of bifurcations of phase portraits of the averaged system.