File: ode4.dem

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scilab 2.6-4
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mode(-1)
xbasc();

titlepage('lorenz ode ');
mode(1)
// ODE definition
deff('[ydot]=lorenz(t,y)',[
    'x=y(1);'
    'a=[-10,10,0;28,-1,-x;0,x,-8/3];'
    'ydot=a*y'])
deff('[j]=jacobian(t,y)',[
    'x=y(1);yy=y(2);z=y(3);'
    'j=[-10,10,0;28-z,-1,-x;-yy,x,-8/3]'])
// Integration
y0=[-3;-6;12];t0=0;step=0.01;t1=10;
instants=t0:step:t1;
y=ode(y0,t0,instants,lorenz,jacobian);
//Visualization
param3d(y(1,:),y(2,:),y(3,:))