How to plot the basin of attraction of attractors for a 3D chaotic system using MATLAB (such as the following Lorenz system)? Thank you very much.

How to plot the basin of attraction of attractors for a 3D chaotic system using MATLAB (such as the following Lorenz system)?

Answer 1

[Umang Pandey]

Hi Quanyv,

I understand that you want to plot the basin of attractors in 3D for Lorenz system.

You can refer to the following File Exchange submission for this:

https://www.mathworks.com/matlabcentral/fileexchange/71012-lorenz-attractor?s_tid=answers_rc2-2_p5_MLT

The function "domi" is solving the Lorenz system of differential equations using the ode45 solver from MATLAB. It takes in initial conditions (xo,yo,zo) and time span T for the solver as input and returns time vector 't' and the solution matrix 'Y'.

The “lorenz.m” script in simulating and plotting the trajectories of the Lorenz system for specified initial conditions.

Best,

Umang