The theory of nonlinear dynamical systems with applications to many areas of physics. Topics include stability, bifurcations, chaos, universality, maps, strange attractors and fractals. Geometric, analytical and computational methods will be developed.
- Recommended preparation
['Nonlinear Dynamics and Chaos by Steven H. Strogatz (Perseus Books Group)']
- Breadth requirement
- Distribution requirement
A course on topics in nonlinear physics. Finite dimensional flows, bifurcations, instabilities and relation to phase transitions. Index theory and its use for the classification of topological defects. Chaos, strange attractors, maps and fractals. An introduction to the renormalization group applied to the Feigenbaum sequence and the period-doubling route to turbulence. Examples from nonlinear classical and quantum (few- or many-body) physics, chemistry, biology, and sociology will be given to illustrate the nonlinear phenomena studied. Computer exercises will be used throughout the course.
- course title
- year of study
- 4th year
- time and location
24L: LEC0101, LEC2001, LEC7001, LEC9101: TR3, On line Synchronous 12T: M2, On line Synchronous Lectures will be delivered synchronously via Zoom and recorded for later viewing. Students can ask questions during the lectures by writing in the “chat" window or by using using the "microphone”. A camera is not necessary.
- Course URL