ODE system phase plane

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Martin Moreno
Martin Moreno 2020-4-19
编辑： Brian Hong 2022-1-26
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?

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回答（3 个）

Ameer Hamza
Ameer Hamza 2020-4-20
  2 个评论
Martin Moreno
Martin Moreno 2020-4-20
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 2020-4-21
Martin, can you show the code which cause this error?

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Steven Lord
Steven Lord 2020-4-20
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 2022-1-26
编辑：Brian Hong 2022-1-26
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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