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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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© 1998 Franz-Josef Elmer,  elmer@ubaclu.unibas.ch last modified Friday, July 24, 1998.