plotting phase diagram of a strange attracter

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myetceteramail myetceteramail
编辑： myetceteramail myetceteramail 2017-5-24
i have a set of first order nonlinear differential equation called the chen's system of ode. i have numerically calculated the solution x(t),y(t),z(t) in terms of a polynomial approximation of the solution. my solution is a polynomial each of x(t),y(t),z(t) with degree 71. Now how do i draw the phase diagram here is what i have done
x=zeros(1,72);
x(1)= -0.1;
y=zeros(1,72);
y(1)= 0.5;
z=zeros(1,72);
z(1)=-0.6;
for k=0:70
x(k+2)=35*(gamma(1+k)/gamma(2+k))*(y(k+1)-x(k+1));
sum=0;
for l=1:k+1
sum=sum+(x(l)*z(k+2-l));
end
y(k+2)=(gamma(1+(k))/gamma(2+(k)))*(-8*x(k+1)-sum+27*y(k+1));
sum=0;
for l=1:k+1
sum=sum+(x(l)*y(k+2-l));
end
z(k+2)=(gamma(1+k)/gamma(2+k))*(-3*z(k+1)+sum);
end
These x(k's) are my coeffecients for my polynomials. after this when i plot for example x(t) i do it like this
s=fliplr(x);
t=0:0.05:250;
v=polyval(s,t);
plot(v).
please somebody help

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