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This section introduces the basic concepts of chaotic dynamics. Unfortunately some class demonstrations do not appear in the slides shown here. A damped driven pendulum is studied as an example of a system which can behave chaotically. The Poincare section and the concept of an attractor is introduced. The relation between the attractor's fractional dimension and the Lyapunov exponents are shown. Bifurcation diagrams and the Feigenbaum number are briefly mentioned.
By clicking the above thumbnail page images, you can peruse the slides. You can also download the (1.2M) colour postscript file that contains these slides.
The entire set of slides for this course is available in colour postscript or in black and white postscript.