This Week: Poster Session! Date: Thursday, December 4 Location: ASB 9896 (Applied Sciences Building, near Renaissance Coffee, next to construction...) Time: Begin setting up at 3:00pm, poster session 3:30-6:00pm Homework Set 10 Matlab code for the Lorenz equations is here List of proposed Project Topics received Previous Weeks: Week 0: Introduction Week 1: 1-d Flows Week 2: Bifurcations of Fixed Points Week 3: Bifurcations with Symmetry Week 4: Imperfect Bifurcations, Flows on the Circle Week 5: Nonuniform Oscillators, Logistic Map Week 6: Fixed Points, Oscillations and Chaos in Maps Week 7: Midterm Exam, Linear Systems Week 8: Linear and Nonlinear Systems in the Plane Week 9: Linear Stability Analysis and Beyond Week 10: Index Theory, Limit Cycles Week 11: Bifurcations in the Plane, Midterm Exam Week 12: Bifurcations of Limit Cycles Week 13: Lorenz Equations and Chaos

Instructor:	Ralf Wittenberg Office: K-10536; Tel: 291-4792 E-Mail: ralf@sfu.ca
Lecture:	Monday 2:30-3:20pm Wednesday 2:30-4:20pm Location: AQ 4130
Web Page:	http://www.math.sfu.ca/~ralfw/math467
Text:	Steven H. Strogatz, "Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry and Engineering" Westview Press.

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Nonlinear Dynamics and Bifurcation

This course is an introduction to the study of dynamical systems. Nonlinear differential equations and iterative maps arise in the mathematical description of numerous systems throughout science and engineering, for instance in physics, chemistry, biology, economics, and elsewhere. Such systems may display complicated and rich dynamical behaviour, and we will develop some linear and nonlinear mathematical tools for their analysis, and consider models in such fields as population biology, ecology, and mechanical and electrical oscillations. Our emphasis throughout will be on the qualitative behaviour of the models, in particular, on the prediction of qualitative change in the nature of the dynamics as a system parameter varies (bifurcation).