User:Johnsy/Modelling in Biology: Difference between revisions
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**[http://www.openwetware.org/images/1/16/DE_Systems-1-.pdf Differential Equation Systems] | **[http://www.openwetware.org/images/1/16/DE_Systems-1-.pdf Differential Equation Systems] | ||
**[http://ocw.mit.edu/OcwWeb/Mathematics/18-03Spring-2006/VideoLectures/ 18.03 Differential Equations Video Lectures from MIT] - Relevant content begins at lecture 24. | **[http://ocw.mit.edu/OcwWeb/Mathematics/18-03Spring-2006/VideoLectures/ 18.03 Differential Equations Video Lectures from MIT] - Relevant content begins at lecture 24. | ||
**[http://ocw.mit.edu/NR/rdonlyres/E48E6ADE-62A2-40A7-A766-B0713388A040/0/ls2.pdf 18.03 Notes on Homogeneous Linear Systems] - (.pdf) Good background reading | |||
Revision as of 11:53, 25 October 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)
- Partial Solutions
- 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
