The Lorenz Attractor Simulink Model

版本 1.0.1 (32.4 KB) 作者: Lazaros Moysis
The Lorenz System designed in Simulink. Two models included and a file to get the rottating 3d plot.
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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].
Video about the Lorenz system
https://www.youtube.com/watch?v=OXTS-d9HdB4
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.

引用格式

Lazaros Moysis (2024). The Lorenz Attractor Simulink Model (https://www.mathworks.com/matlabcentral/fileexchange/155522-the-lorenz-attractor-simulink-model), MATLAB Central File Exchange. 检索时间: .

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版本 已发布 发行说明
1.0.1

fixed video links
1.0.0