https://nemenmanlab.org/~ilya/index.php?action=history&feed=atom&title=Physics_212%2C_2017%3A_Lecture_10 2026-05-17T09:39:58Z Revision history for this page on the wiki MediaWiki 1.31.0 https://nemenmanlab.org/~ilya/index.php?title=Physics_212,_2017:_Lecture_10&diff=685&oldid=prev 2018-07-04T16:28:44Z

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Ilya https://nemenmanlab.org/~ilya/index.php?title=Physics_212,_2017:_Lecture_10&diff=684&oldid=prev 2017-02-21T13:53:33Z

<p></p> <p><b>New page</b></p><div>{{PHYS212-2017}}<br /> <br /> Introduction to dynamical systems. More to come.<br /> <br /> We have discussed the following topics:<br /> *Phase portrait of 1-d system (growth with carrying capacity).<br /> *Phase portrait of 2-d system (predator-prey model).<br /> *How to find out fixed points of dynamical systems, and how to solve for them using our own custom-built [[media:Newton.txt| Newton method]], or the fsolve function from Python (Sec 5.5. in the textbook).<br /> *How to plot vector fields / phase portraits of dynamical systems using functions in Sec 5.9 of the textbook.</div>

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