The Henon Map
This is a simple implementation of the Henon system. It is a discrete time system that maps a point $(x_n,y_n)$ in the following fashion:
$x_{n+1}=1-a x_n^2 + y_n$
$y_{n+1}=b x_n$
Where a and b are the system parameters.
This script computes 10000 iterations for
a=1.4 and b=0.3.
This file also includes a .pdf file created with the publish feature. The comments on the file are created in a fashion that an html format will work great.
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] Moysis, L., & Azar, A. T. (2017). New Discrete Time 2D Chaotic Maps. International Journal of System Dynamics Applications (IJSDA), 6(1), 77-104. http://www.igi-global.com/article/new-discrete-time-2d-chaotic-maps/169799
Cite As
Lazaros Moysis (2024). The Henon Map (https://www.mathworks.com/matlabcentral/fileexchange/46600-the-henon-map), MATLAB Central File Exchange. Retrieved .
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Acknowledgements
Inspired by: Chaotic Systems Toolbox
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Version | Published | Release Notes | |
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1.0.0.0 | Updated bibliography
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