Bifurcations of phase portraits of pendulum with vibrating suspension point
arXiv:1605.09448 · doi:10.1016/j.cnsns.2016.11.003
Abstract
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 system with one degree of freedom depending on two parameters. We give complete description of bifurcations of phase portraits of this averaged system.