https://github.com/ratwolfzero/henon

Calculate and display the "Hénon" attractor
https://github.com/ratwolfzero/henon

attractors henon henon-map julia julia-language strange-attractors

Last synced: about 1 month ago
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Calculate and display the "Hénon" attractor

• Host: GitHub
• URL: https://github.com/ratwolfzero/henon
• Owner: ratwolfzero
• Created: 2023-10-08T20:11:15.000Z (over 2 years ago)
• Default Branch: main
• Last Pushed: 2024-06-19T05:19:19.000Z (over 1 year ago)
• Last Synced: 2024-10-13T22:25:38.446Z (over 1 year ago)
• Topics: attractors, henon, henon-map, julia, julia-language, strange-attractors
• Language: Julia
• Homepage:
• Size: 7.81 KB
• Stars: 0
• Watchers: 1
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md

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README

          
# Hénon

Calculate and display the "Hénon" map / attractor

![Henon_1 Image](henon_1.png)

The map was introduced by Michel Hénon as a simplified model of the Poincaré section of the Lorenz model.

It is defined by the following equations:

$$

\large

\begin{cases}

x_{n+1} = 1 - ax_n^2 + y_n \\

y_{n+1} = bx_n

\end{cases}

\large

$$  

Where $$x_n$$ and $$y_n$$ are the coordinates at the nth iteration, and a and b are parameters. The map exhibits chaotic behavior for certain values of a and b, and its strange attractor is a classic example of deterministic chaos.