Butterfly effect in the logistic map

Version 1.0.0 (1.48 KB) by Lazaros Moysis
Sensitivity to initial conditions visualized
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9 Downloads
Updated 7 Jan 2025

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This code can be used to showcase the butterfly effect in chaotic systems, by plotting several time series of the system under almost identical initial conditions.
We are using the Logistic map as an example, but you can change this to any map of your choice.
Video explaining the phenomenon:
https://www.youtube.com/watch?v=JgLyk304MYk
Youtube channel: https://www.youtube.com/@lazarosmoysis5095

Cite As

Lazaros Moysis (2025). Butterfly effect in the logistic map (https://uk.mathworks.com/matlabcentral/fileexchange/178604-butterfly-effect-in-the-logistic-map), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2024b
Compatible with any release
Platform Compatibility
Windows macOS Linux
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Version Published Release Notes
1.0.0