Article ID Journal Published Year Pages File Type
755928 Communications in Nonlinear Science and Numerical Simulation 2011 6 Pages PDF
Abstract

The shooting method is applied to obtain chaotic motions for a pendulum with a oscillatory torque excitation on its support. It shows that if the pendulum is placed at certain spots, the corresponding motion will become chaotic. It proves the coexistence of uncountably many non-periodic motions and countably many periodic motions of the pendulum.

â–º Parametrically excited pendulum, Chaos obtained by topological shooting.

Related Topics
Physical Sciences and Engineering Engineering Mechanical Engineering
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