Bifurcations of phase portraits of pendulum with vibrating suspension point
classification
🧮 math.DS
keywords
pendulumsystemaveragedbifurcationsfastphasepointportraits
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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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