| MATH 462 |
CRN 7685, 15 Points (2010 2/3) |
| Coordinator: |
A/Prof Mark McGuinness
|
| 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, including the iteration of maps, bifurcation theory, symbolic dynamics, Smale horseshoes and Poincaré sections.
Dynamical systems model aspects of the real world, either discretely with maps or continuously with differential equations. We study maps in one and two dimensions and use their properties to understand systems of differential equations via the idea of Poincaré sections. As a result we are led from fixed points via periodic points to chaos and fractals.
|
|
|
Year2010
Events
