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LECTURE 15
goals and outline
lecture title
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
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