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The Henon Map

version 1.0.0.0 (97.7 KB) by Lazaros Moysis
The Henon map discrete time dynamical system.

1.6K Downloads

Updated 08 Feb 2017

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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 (2021). The Henon Map (https://www.mathworks.com/matlabcentral/fileexchange/46600-the-henon-map), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2013a
Compatible with any release
Platform Compatibility
Windows macOS Linux
Acknowledgements

Inspired by: Chaotic Systems Toolbox

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