Azzera filtri
Azzera filtri

ODE system phase plane

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Martin Moreno
Martin Moreno il 19 Apr 2020
Modificato: Brian Hong il 26 Gen 2022
Hi guys, I have never plotted phase planes in Matlab and would like to include some graphics on a due coursework.
My ODE systems are:
dx/dt=x(r-ay)
dy/dt=c+y(bx-d)
where r,a,c,b,d are all positive constants.
I would like for the plot to include trajectories and a direction field.
Any ideas on how I could do this?
  1 Commento
darova
darova il 20 Apr 2020
Did you solve your equations already?

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Risposte (3)

Ameer Hamza
Ameer Hamza il 20 Apr 2020
  2 Commenti
Martin Moreno
Martin Moreno il 20 Apr 2020
This is the error I get after trying your method:
Undefined function or variable 'odeFun'.
Error in @(x,y){odeFun([],[x,y])}
Ameer Hamza
Ameer Hamza il 21 Apr 2020
Martin, can you show the code which cause this error?

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Steven Lord
Steven Lord il 20 Apr 2020
Create an options structure using odeset. In your odeset call specify the OutputFcn option to be @odephas2, a function included with MATLAB for creating a 2-dimensional phase plane plot. Pass the options structure returned by odeset into the ODE solver as the appropriate input argument.
The orbitode example uses odephas2 in its execution.

Brian Hong
Brian Hong il 26 Gen 2022
Modificato: Brian Hong il 26 Gen 2022
You could also use an app. I used pplane in undergrad. We also made a new app for analyzing ODE systems in the phase plane.

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