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LECTURE 15
     goals and outline

lecture title

    Chaos: Complex Behavior of a Simple System

text pages

    The bulk of this lecture is not covered in the text. On pp 73-77 there is a discussion of chaos. In the Physics Museum there's a computer with some examples on it.

lecture goals

  • To learn a smattering of vocabulary about chaos.
  • To understand what phase space is.
  • To distinguish between harmonic, random, and chaotic motion.
  • To be able to define and draw an example of a self-similar fractal pattern.

outline of lecture

    1. Properties of Chaotic Motion

    2. Phase Space

    3. Self-Similarity and Fractals

quote

Of course, one can argue that words like ``chaos'' and ``energy'' antedate their use as technical terms, but it is the technical meanings that are being distorted in the process of vulgarization, not the original senses of the words.
...Still, the presence of the word [complex] implies the belief that any such system [complex adaptive system] possesses at least a certain minimum level of complexity, suitably defined.
Simplicity refers to the absence (or near-absence) of complexity. Whereas the former word is derived from an expression meaning ``once folded'', the latter comes from an expression meaning ``braided together''. (Note that both ``plic-'' for fold and ``plex-'' for braid come from the same Indo-European root ``plek''.

-- Murray Gell-Mann, from The Quark and the Jaguar


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Please email any questions, comments, or suggestions to Professor Bernice Durand, bdurand@theory3.physics.wisc.edu.

Revised October 8, 1997.


Content © 1997, Bernice Durand
Images and layout © 1997, Shane Hamilton