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The Lab The Lecture Room The Equations of Motion Oscillations and Resonances Nonlinear Dynamics Miscellaneous Topics Links and Literature The Upside-Down Pendulum The Lyapunov Exponent Fractals

Miscellaneous Topics

Here is a list of some interesting topics which supplement the other sections.

1. The upside-down pendulum: Learn how to stabilize a rigid pendulum in its upside-down equilibrium.
2. The Lyapunov exponent: This is a quantitive measure of the sensitive dependence on the initial conditions in deterministic chaos.
3. Fractals: These are geometrical objects which show structural details at all levels of magnification.

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