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Stretching and Folding of a Strange Attractor

The image above shows an example of how a strange attractor is produced
by successive stretching and folding. The stretching causes orbits on the
attractor to exhibit sensitive dependence on initial conditions (chaos),
and the folding causes the fractal (strange) microstructure. The image
is a succession of Poincare sections in the *x*-*x*' plane at
24 successive phase angles for a damped, driven pendulum described by *x*''
+ 0.05*x*' + sin(*x*) = 0.6 sin(0.7*t*). The image above
is also available as an AVI movie file.

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