Lorenz Attractor

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James Hendren
James Hendren on 19 Mar 2012
Answered: ANTONINO BIANCUZZO on 19 Mar 2022
Does anyone have a script written to solve lorenz attractors and them graph them? If so could you send the script to me please?

Answers (1)

ANTONINO BIANCUZZO
ANTONINO BIANCUZZO on 19 Mar 2022
clear all, close all, clc
Beta = [10; 28; 8/3]; % chaotic values
x0 = [0; 1; 20]; % initial condition
dt = 0.001;
tspan = dt:dt:50; % 50.000 time span
%% ode options
options = odeset('RelTol',1e-12,'AbsTol',1e-12*ones(1,3));
[t,x] = ode45(@(t,x)lorenz(t,x,Beta),tspan,x0,options);
%% lorenz plot
plot3(x(:,1),x(:,2),x(:,3));
function dx = lorenz(t,x,Beta)
%% Lorenz equations
dx = [
Beta(1)*(x(2)-x(1));
x(1)*(Beta(2)-x(3)) - x(2);
x(1)*x(2) - Beta(3)*x(3);
];

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