Butterfly effect in the the Lorenz system

版本 1.0.1 (2.0 KB) 作者: Lazaros Moysis
Sensitivity to initial conditions visualized
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更新时间 2025/1/6

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This code can be used to showcase the butterfly effect in chaotic systems, by plotting several trajectories of the system under almost identical initial conditions.
We are using the Lorenz system as an example, but you can change this to any system of your choice.
Video explaining the phenomenon:
https://www.youtube.com/watch?v=O5b9dRd_eY0
Relevant references:
https://www.stevenstrogatz.com/books/nonlinear-dynamics-and-chaos-with-applications-to-physics-biology-chemistry-and-engineering
https://ieeexplore.ieee.org/abstract/document/9703188
https://www.mdpi.com/2227-7080/7/4/76
https://link.springer.com/article/10.1007/s40435-020-00712-0
Youtube channel: https://www.youtube.com/@lazarosmoysis5095

引用格式

Lazaros Moysis (2025). Butterfly effect in the the Lorenz system (https://www.mathworks.com/matlabcentral/fileexchange/178554-butterfly-effect-in-the-the-lorenz-system), 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