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Analysis of a Parametrically Driven Pendulum

Randy Kobes·Junxian Liu·Slaven Peles
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Abstract

We study in this paper the behavior of a periodically driven nonlinear mechanical system. Bifurcation diagrams are found which locate regions of quasiperiodic, periodic and chaotic behavior within the parameter space of the system. We also conduct a symbolic analysis of the model, which demonstrates that the symbolic dynamics of two-dimensional maps can be applied effectively to the study of ordinary differential equations in order to gain global knowledge about them.

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Randy Kobes, Junxian Liu, Slaven Peles. 2000-11-10. Analysis of a Parametrically Driven Pendulum. https://doi.org/10.1103/physreve.63.036219

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