MATH 462: Chaotic Dynamics
2009 Trimester 2
| MATH 462 | CRN 7685, 15 Points (2009 2/3) | |
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| Coordinator: | AProf Peter Donelan |
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| Textbook: | Chaos: an introduction to dynamical systems. by Kathleen T. Alligood, Tim D. Sauer and James A. Yorke, Springer SERIES 1. Textbooks in mathematical sciences, 1997. A number of these texts are available for students to borrow for the duration of the course, thanks to the Campbell Bequest. | |
| Description: | A gourmet's sampling from the smorgasbord of delights in chaos and dynamical systems, from the Cantor set to strange attractors, possibly including the iteration of maps, bifurcation theory, symbolic dynamics, Smale horseshoes and Poincaré sections. Dynamical systems model some aspect of the real world, either discretely with maps or continuously with differential equations. We study maps in one and two dimensions; fixed points, periodic points and chaos in maps; fractals (Chapters 1 - 4 of the text). ONLY ONE OF MATH 453 / MATH 462 WILL BE OFFERED IN 2009 |
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