The Lorenz attractor, named for Edward N. Lorenz, is an example of a non-linear dynamic system corresponding to the long-term behavior of the Lorenz oscillator.
The Lorenz oscillator is a 3-dimensional dynamical system that exhibits chaotic flow, noted for its lemniscate shape. The map shows how the state of a dynamical system (the three variables of a three-dimensional system) evolves over time in a complex, non-repeating pattern.
Wiki Article: http://en.wikipedia.org/wiki/Lorenz_attractor
% LORENZ Function generates the lorenz attractor of the prescribed values
% of parameters rho, sigma, beta
%
% [X,Y,Z] = LORENZ(RHO,SIGMA,BETA,INITV,T,EPS)
% X, Y, Z - output vectors of the strange attactor trajectories
% RHO - Rayleigh number
% SIGMA - Prandtl number
% BETA - parameter
% INITV - initial point
% T - time interval
% EPS - ode solver precision
%
% Example.
% [X Y Z] = lorenz(28, 10, 8/3);
% plot3(X,Y,Z);
Cite As
Moiseev Igor (2024). Lorenz attaractor plot (https://www.mathworks.com/matlabcentral/fileexchange/30066-lorenz-attaractor-plot), MATLAB Central File Exchange. Retrieved .
MATLAB Release Compatibility
Platform Compatibility
Windows macOS LinuxCategories
Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!Discover Live Editor
Create scripts with code, output, and formatted text in a single executable document.
Version | Published | Release Notes | |
---|---|---|---|
1.0.0.0 |