V63.0264: Chaos and Dynamical Systems
| Term: | Spring 2011 |
| Lectures: | TThu 11:00am-12:15pm in WWH 201 |
| Recitations: | Fr. 12:30pm-1:45pm in in TBD |
| Instructor: | Prof. S. Gunturk |
| Office: | 616 WWH |
| Office hours: | and by appointment |
| Phone: | 212-998-3246 |
| Email: | gunturk@cims.nyu.edu |
Prerequisites
Students who wish to enroll in Chaos & Dynamical Systems must meet the following prerequisites:
- V63.0122 Calculus II and V63.0140 Linear Algebra with a grade of C or better or the equivalent.
Course description
Topics will include dynamics of maps and of first order and second-order differential equations: stability, bifurcations, limit cycles, dissection of systems with fast and slow time scales. Geometric viewpoint, including phase planes, will be stressed. Chaotic behavior will be introduced in the context of one-variable maps (the logistic), fractal sets, etc. Applications will be drawn from physics and biology. There will be homework and projects, and a few computer lab sessions (programming experience is not a prerequisite).
Course Details
Textbook and Materials
Nonlinear Dynamics and Chaos, Steven Strogatz, 978-0-7382-0453-6, Westview/Perseus Press
Grading policy
Midterm, Final, Homework & Projects (Percentage TBD)
Tentative Calendar
| Week | Topic |
|---|---|
| 1 | Introduction |
| 2 | One-Dimensional Flows |
| 3 | Flows on the Line |
| 4 | Bifurcations |
| 5 | Flows on the Circle |
| 6 | Two-Dimensional Flows |
| 7 | Linear Systems |
| 8 | Phase Plane, Limit Cycles |
| 9 | Bifurcations Revisited |
| 10 | Lorenz Equations |
| 11 | One-Dimensional Maps |
| 12 | Fractals |
| 13 | Strange Attractors |