User:Johnsy/Modelling in Biology
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About - Introduction and background: linear vs. nonlinear. Phase plane analysis. Stochastic and Deterministic models. One-dimensional systems: fixed point analysis; global and local stability; bifurcations. Two-dimensional systems: oscillations and limit cycles. Hopf bifurcation and Poincare-Bendixson theorem.
Professor: Dr. Mauricio Barahona
Fall Term 2007 Lectures: Monday 10-11 (Mech Eng 664), Thursday 2-3 (RSM G.01)
Lab: Friday 10-11 (RSM 3.38)
Textbook: Strogatz, Steven. Nonlinear Dynamics and Chaos. Cambridge, MA: Westview Press, 1994.
Announcements
- Final Examination Wednesday 14 May 2008, 14:00 - 16:00 (RSM G.01)
- Classes start Tuesday 9 October 2007
Assignments
- Assignment 1 (Due 5 November 2007)
- Complete Solutions (.pdf)
- Solutions (.doc)
- EulerSDE.m
- Euler.m
- References for Assignment 1
- Differential Equation Systems
- 18.03 Differential Equations Video Lectures from MIT - Relevant content begins at lecture 24.
- 18.03 Notes on Homogeneous Linear Systems - (.pdf) Good background reading
- Assignment 2 (Due 28 November 2007)
- Assignment 3 (Due 14 December 2007)
Past Examination Papers
- 2007 Examination (.pdf)
- 2007 Examination Answers (.pdf) - Please note that there is no guarantee that these are the correct answers!