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phase space


From: Johannes Wolfgang Woger
Subject: phase space
Date: Fri, 03 Apr 2009 14:55:32 +0200
User-agent: Thunderbird 2.0.0.21 (X11/20090302)

Hi,
I am an newby.

How can I obtain a plot of the phase portrait
of Lotka-Volterra:

octave:92> function xdot = f(x,t)
>  a = 4;
>  b = 4;
>  c = 4;
>  d = 8;
>  E = 1;
>  K = 1;
>  xdot = zeros(2,1);
>  xdot(1) = x(1)*(a-b*x(2)-E*x(1));
>  xdot(2) = x(2)*(d*x(1)-c-K*x(2));
>  endfunction
octave:93>
octave:93> t = linspace(0,50,100);
octave:94> x = lsode("f", [2,1],t);
octave:95> plot(t,x);


Thanks


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