Bifurcation diagram for the Lorenz Chaotic system

バージョン 1.0.4 (2.34 KB) 作成者: Lazaros Moysis
Compute the bifurcation, or continuation, diagram for the Lorenz chaotic system
ダウンロード: 213
更新 2024/3/18

ライセンスの表示

This code can be used to compute the bifurcation diagram for the Lorenz chaotic system.
The diagram is generated by simulating the system from fixed initial conditions, and after discarding the transient, computing the intersections of the trajectory with a given plane of choice, and a specific direction.
The code can be easily adapted to compute a continuation diagram, where after each simulation, the initial condition is set equal to the final value of the previous simulation.
The code can also be easily adapted to any chaotic system, not just the Lorenz. What you need to do is replace the lorenz call in the ode45 with any chaotic system of your choice. Of course, you must first study the system to choose the appropriate plane of intersection for the system's trajectory.
An illustrative video explaining the bifurcation diagram can be found below.
A video explaining the code is available here:
An illustrative video for the continuation diagram can be found below.
References:

引用

Lazaros Moysis (2024). Bifurcation diagram for the Lorenz Chaotic system (https://www.mathworks.com/matlabcentral/fileexchange/156752-bifurcation-diagram-for-the-lorenz-chaotic-system), MATLAB Central File Exchange. 取得済み .

MATLAB リリースの互換性
作成: R2023b
すべてのリリースと互換性あり
プラットフォームの互換性
Windows macOS Linux

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!
バージョン 公開済み リリース ノート
1.0.4

fixed typos

1.0.3

updated description

1.0.2

fixed video links

1.0.1

fixed video links

1.0.0