The Lorenz Attractor Simulink Model
This is a design of the lorenz non-linear model, known as the Lorenz Attractor, defined by:
x'=σ*(y-x)
y'=x*(ρ-z)-y
z'=β*z+x*y
Where x=x(t), y=y(t), z=z(t) and t=[0,100].
For initial conditions:
x(0)=y(0)=z(0)=5 (defined inside the integrator blocks)
And system parameters:
σ=10,ρ=30,β=-3
In the first model, the refine factor has been changed to 4 for a smoother simulation and the states are saved in the workspace.
In the second model, the stepping options have been set to 5 so one can step forward the simulation every 5 seconds and observe the change in the 3 plots.
One can easily change the initial values and the system parameters and explore the different results.
After you run the system in Simulink, you can run the .m file to get the 3d plot being produced gradually in time.
This is included in [1].
References:
[1] An introduction to Control Theory Applications Using Matlab, https://www.researchgate.net/publication/281374146_An_Introduction_to_Control_Theory_Applications_with_Matlab
[2] DIFFERENTIAL EQUATIONS,DYNAMICAL SYSTEMS, AND AN INTRODUCTION TO CHAOS, Hirsch, Smale, Devaney. Elsevier Academic Press.
Cite As
Lazaros Moysis (2023). The Lorenz Attractor Simulink Model (https://www.mathworks.com/matlabcentral/fileexchange/46439-the-lorenz-attractor-simulink-model), MATLAB Central File Exchange. Retrieved .
MATLAB Release Compatibility
Platform Compatibility
Windows macOS LinuxTags
Acknowledgements
Inspired by: Solution of Differential Equations with MATLAB & Simulink: Lorenz Attractor Case Study
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.