Chaos and Order in the Damped Forced Pendulum in a Plane

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Apparently simple physical systems often have very complex behavior, as in the case of the damped forced pendulum in a plane, which can have chaotic or nonchaotic behavior. To show this, this Demonstration displays in one graphic various trajectories for distinct initial conditions restricted to a small zone.

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In many cases all trajectories have the same form or have a regular form; in other cases the behavior is chaotic, and it is not difficult to see period doubling in the graph.

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Contributed by: Francisco Javier Sanchez Chapado (March 2011)
Open content licensed under CC BY-NC-SA


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