Physics 212, 2017: Lecture 10

From Ilya Nemenman: Theoretical Biophysics @ Emory
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Back to Physics 212, 2017: Computational Modeling.

Introduction to dynamical systems. More to come.

We have discussed the following topics:

  • Phase portrait of 1-d system (growth with carrying capacity).
  • Phase portrait of 2-d system (predator-prey model).
  • How to find out fixed points of dynamical systems, and how to solve for them using our own custom-built Newton method, or the fsolve function from Python (Sec 5.5. in the textbook).
  • How to plot vector fields / phase portraits of dynamical systems using functions in Sec 5.9 of the textbook.