1.9 Dissipation makes
Attractors
•The pendulum that we have
been
discussing is not realistic!
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•It oscillates for ever,
with no decay of its swinging amplitude
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•The mathematical model that we used was incomplete
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•We ignored friction in
the bearing
and air-drag on the bob
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•Both of these dissipate energy and slow the pendulum down
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•Newton made experiments
to estimate the drag force
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•Damping changes closed
orbits into spirals to a point attractor
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