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