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arXiv · 1605.09448

Bifurcations of phase portraits of pendulum with vibrating suspension point

Anatoly Neishtadt·Kaicheng Sheng
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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.

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Anatoly Neishtadt, Kaicheng Sheng. 2016-05-30. Bifurcations of phase portraits of pendulum with vibrating suspension point. https://doi.org/10.1016/j.cnsns.2016.11.003

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