Bifurcations of phase portraits of pendulum with vibrating suspension point

摘要

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 a complete description of bifurcations of phase portraits of this averaged system. (C) 2016 Elsevier B.V. All rights reserved.