Plotting phase plane from system of second order ODEs

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María Jesús
María Jesús 2015-10-14
评论： Star Strider 2015-10-14
Hi,
I'm using ode45 to solve a system of two second order ODEs (writing it as a system of 4 first order ODEs)
du(1) = u(3); %u'
du(2) = u(4); %v'
du(3) = c*u(3) - (1 - u(1) - a1*u(2))*u(1); %u
du(4) = (c/d)*u(4) - (r/d)*(1- a1*u(1) - u(2))*u(2); %v
I would like to plot a phase plane portrait of two of these (du(1) and du(2)). Is there a way to do this?
Thanks!!

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Star Strider
Star Strider 2015-10-14
See the odeset documentation for Description of Solver Output Properties, particularly for ‘OutputFcn’ and the odephas2 option. That’s the easiest way.
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Star Strider
Star Strider 2015-10-14
My pleasure!
For arrows, you will need to use the quiver or quiver3 plot functions. Use the hold function to overplot the arrows on the phase plot.
Sorry for the delay — MATLAB Answers is apparently undergoing some sort of upgrade just now and I didn’t see your reply. It would normally pop to the top of the stack, but didn’t.

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