ODE system phase plane
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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?
回答（3 个）
Ameer Hamza
2020-4-20
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Check my answer here to draw 2D phase plot: https://www.mathworks.com/matlabcentral/answers/519014-how-does-one-plot-phase-portraits-for-systems-of-differential-equations and here for 3D phase plot: https://www.mathworks.com/matlabcentral/answers/519154-how-do-i-plot-the-phase-space-for-a-system-of-3-odes. Also check here for more information: http://matlab.cheme.cmu.edu/2011/08/09/phase-portraits-of-a-system-of-odes/
2 个评论
Martin Moreno
2020-4-20
Ameer Hamza
2020-4-21
Martin, can you show the code which cause this error?
Steven Lord
2020-4-20
0 个投票
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
2022-1-26
编辑：Brian Hong
2022-1-26
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