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PHY460H1
Nonlinear Physics

Official description

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.

Prerequisite
PHY354H1
Co-requisite
n.a.
Exclusion
n.a.
Recommended preparation
n.a.
Textbook
                            ['Nonlinear Dynamics and Chaos by Steven H. Strogatz (Perseus Books Group)']
                        
Breadth requirement
BR=5
Distribution requirement
DR=SCI

Additional information

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
PHY460H1
session
winter
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
http://www.christianweed…
instructor

Delivery Methods

In Person

A course is considered In Person if it requires attendance at a specific location and time for some or all course activities.*.

* Subject to adjustments imposed by public health requirements for physical distancing.

Online - Synchronous
A course is considered Online Synchronous if online attendance is expected at a specific time for some or all course activities, and attendance at a specific location is not expected for any activities or exams.
Asynchronous
A course is considered Asynchronous if it has no requirement for attendance at a specific time or location for any activities or exams.