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Unabridged and unedited, scanned copies of notes written by instructor on the document camera. In case you find a typo, please let me know and I will add a list of errata.
- Wolfram demonstrations project on cobwebbing in the logistic map (free but requires installation of Wolfram CDF Player). Nice interactive illustration of the surprisingly complex dynamics generated by a simple equation.
- Movie to illustrate the complex patterns generated by the logistic map (ignore the left hand side until 12sec). By increasing \(\alpha\) the population visits an increasing number of states repeatedly (e.g. as part of a cycle) called attractors. Those attractors form complex patterns that combine order and chaos.