The lecture room

Welcome to the lecture room! Here you can learn about the physics and mathematics behind the pendulum experiments.

1. The equations of motion
   • The equation of motion of an undamped and undriven pendulum
   • The equations of motion of damped and driven pendula
   • The linearized equations of motion
2. Oscillations and resonances
   • The harmonic oscillator
   • Nonlinear oscillations
   • Nonlinear resonance
   • Parametric resonance
3. Nonlinear dynamics
   • Basic terms
   • Stability and bifurcation
   • The nature of deterministic chaos
4. Miscellaneous Topics
   • The upside-down pendulum
   • The Lyapunov exponent
   • Fractals
5. Interesting Web-Links and literature

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© 1998 Franz-Josef Elmer,  elmer@ubaclu.unibas.ch last modified Thursday, July 16, 1998.