Analysis of a Parametrically Driven Pendulum

Details Analysis of a Parametrically Driven Pendulum Analysis of a Parametrically Driven Pendulum

2000-11-10

arxiv.org/abs/nlin/0011019v1

Nonlinear Sciences

Chaotic Dynamics

31 pages, 21 figures

Scientific paper

10.1103/PhysRevE.63.036219

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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