User:Johnsy/Modelling in Biology

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)
  • subject1.dat
  • subject2.dat
  • Solutions (.doc)
  • Solutions (.pdf)

• Assignment 3 (Due 14 December 2007)
  • Solutions (.pdf)
  • Matlab code (.zip)

Past Examination Papers

• 2007 Examination (.pdf)
  • 2007 Examination Answers (.pdf) - Please note that there is no guarantee that these are the correct answers!