How to plot the phase plane for a system with three degrees by using streamslice?

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For a system with 2 degree, we can use steamslice to plot phase plane.
e.g:
ODEs
dx/dt=x^2-2x-xy;
dy/dt=y^2-4y+xy;
Matlab code
[x,y]=meshgrid(linspace(-10,10));
streamslice(x,y,x.*(-2+x-y),y.*(-4+y+x));
xlabel(‘x’);ylabel(‘y’);
When I have a syetem of odinary differential equations with three degrees, how to plot phase plane of two degrees by using steamslice?
e.g:
ODEs
dx=f1(x,y,z)=-x
dy=f2(x,y,z)=-y+x^2
dz=f3(x,3,z)= z+x^2
I want to plot a phase plane of (x,y) by using streamslice. Is there a way to do this?
Thanks!

Answers (0)

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