The dynamical system contains two ODES:
dxdt=(1-(x.^2+y.^2)).*x-3.*y.*(x.^2+y.^2);
dydt=(1-(x.^2+y.^2)).*y+3.*x.*(x.^2+y.^2);
where :
x(t)=cos(3*t);
y(t)=sin(3*t);
This system has a unstable solution: x(t)=y(t)=0.
I want to produce a phase portrait of this system which will look like this:
Please help me. I do not know what code to use in order to produce this plot. The aatachment is the question. Thank you for the help!!!!
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