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
% [X Y Z] = lorenz(28, 10, 8/3);
Moiseev Igor (2023). Lorenz attaractor plot (https://www.mathworks.com/matlabcentral/fileexchange/30066-lorenz-attaractor-plot), MATLAB Central File Exchange. Retrieved .
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