User:Johnsy/Modelling in Biology: Difference between revisions
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==Assignments== | ==Assignments== | ||
*[http://www.openwetware.org/images/1/13/MiB_Assignment_1.pdf Assignment 1] (Due 5 November 2007) | *[http://www.openwetware.org/images/1/13/MiB_Assignment_1.pdf Assignment 1] (Due 5 November 2007) | ||
**[http://www.openwetware.org/images/a/a5/MiB_Assignment_1.doc Solutions] | **[http://www.openwetware.org/images/4/40/MiB_Assignment_1_Complete.pdf Complete Solutions (.pdf)] | ||
**[http://www.openwetware.org/images/a/a5/MiB_Assignment_1.doc Solutions (.doc)] | |||
**[http://www.openwetware.org/images/7/7c/EulerSDE.m EulerSDE.m] | **[http://www.openwetware.org/images/7/7c/EulerSDE.m EulerSDE.m] | ||
**[http://www.openwetware.org/images/2/2b/Euler.m Euler.m] | **[http://www.openwetware.org/images/2/2b/Euler.m Euler.m] | ||
Revision as of 06:29, 4 November 2007
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
- 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
