File:An orbit of Lorenz system.svg

Summary

Description
English: An orbit of Lorenz system
where, σ = 10, r = 28, b = 8/3.
Date
Source Own work
Author Yapparina

Scilab source

clear;

//Parameters
o = 10;
r = 28;
b = 8/3;

// x=x(1), y=x(2), z=x(3)
function dx = LORENZ(t,x)
  dx(1) = -o * x(1) + o * x(2);
  dx(2) = r * x(1) - x(2) - x(1) * x(3); 
  dx(3) = - b * x(3) + x(1) * x(2); 
endfunction

// The time range and step for calculation
Tin = 0;
Tout = 10;
Tstep = 0.01;
t = Tin:Tstep:Tout;

// The initial values
x0 = 20;
y0 = 10;
z0 = 10;
X0 = [x0; y0; z0];

X = ode(X0,0,t,LORENZ);

clf
param3d(X(1,:), X(2,:), X(3,:))
xlabel('x')
ylabel('y')
zlabel('z')

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Category:CC-Zero#An%20orbit%20of%20Lorenz%20system.svgCategory:Self-published work
Category:Lorenz attractors Category:Phase space diagrams
Category:CC-Zero Category:Images with Scilab code Category:Lorenz attractors Category:Phase space diagrams Category:Self-published work