https://github.com/boriskonstantinov/feigenbaum

A study on deterministic chaotic systems and the obtaining of Feigenbaums constant.
https://github.com/boriskonstantinov/feigenbaum

chaos-theory chaotic-map feigenbaum feigenbaum-constants

Last synced: 7 months ago
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A study on deterministic chaotic systems and the obtaining of Feigenbaums constant.

• Host: GitHub
• URL: https://github.com/boriskonstantinov/feigenbaum
• Owner: BorisKonstantinov
• License: gpl-3.0
• Created: 2024-09-08T21:58:08.000Z (over 1 year ago)
• Default Branch: main
• Last Pushed: 2024-11-14T03:10:54.000Z (about 1 year ago)
• Last Synced: 2025-01-16T03:26:52.999Z (12 months ago)
• Topics: chaos-theory, chaotic-map, feigenbaum, feigenbaum-constants
• Language: Python
• Homepage:
• Size: 3.68 MB
• Stars: 1
• Watchers: 1
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

Awesome Lists containing this project

README

          


  

  Modelling Chaos

  

  

  Study and Simulation of Bifurcation Systems





  Abstract



The purpose of this work is to present the reader with an introduction to linear chaotic systems. We conduct a study of deterministic chaos, proving that the one-dimensional map $f^{n+1}(x_n)\;=\mu x_n (1-x_n)$ meets the requirements for a chaotic system defined by Devaney. Further into the work we obtain Feigenbaums constant using 3 different methods, with the best value obtained being $\delta = 4.6692016$. 

        

The data has been generated using independently written software. The software utilises techniques from multiprocessing in order to decrease data processing time, thus allowing for more computationally demanding tasks to be attempted.