Physics 212, 2017: Lecture 10
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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.