Fractional Order Chaotic Systems

バージョン 1.3.0.0 (16.2 KB) 作成者: Ivo Petras
Numerical solutions of the fractional order chaotic systems.
ダウンロード: 10.6K
更新 2016/3/26

ライセンスの表示

This toolbox contains the functions which can be used to simulate some of the well-known fractional order chaotic systems, such as:
- Chen's system,
- Arneodo's system,
- Genesio-Tesi's system,
- Lorenz's system,
- Newton-Leipnik's system,
- Rossler's system,
- Lotka-Volterra system,
- Duffing's system,
- Van der Pol's oscillator,
- Volta's system,
- Lu's system,
- Liu's system,
- Chua's systems,
- Financial system,
- 3 cells CNN.
The functions numerically compute a solution of the fractional nonlinear differential equations, which describe the chaotic system. Each function returns the state trajectory (attractor) for total simulation time.

For more details see book:

Ivo Petras, Fractional-Order Nonlinear Systems: Modeling, Analysis and Simulation, Springer, Series: Nonlinear Physical Science, 2011, ISBN 978-3-642-18100-9.

http://www.springer.com/engineering/control/book/978-3-642-18100-9

or Chinese edition:

Higher Education Press, Series: Nonlinear Physical Science, 2011, ISBN 978-7-04-031534-9.

http://academic.hep.com.cn/im/CN/book/978-7-04-031534-9

Zentralblatt MATH Database review:

http://www.zentralblatt-math.org/portal/en/zmath/en/search/?q=an:05851602&type=pdf&format=complete

引用

Ivo Petras (2024). Fractional Order Chaotic Systems (https://www.mathworks.com/matlabcentral/fileexchange/27336-fractional-order-chaotic-systems), MATLAB Central File Exchange. 取得済み .

MATLAB リリースの互換性
作成: R14
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
カテゴリ
Help Center および MATLAB AnswersNonlinear Dynamics についてさらに検索

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
1.3.0.0

Updated description. Added tag.
Description update.

1.2.0.0

Description update.

1.1.0.0

Added a link to book with more details.

1.0.0.0