Fractional Order Chaotic Systems

Numerical solutions of the fractional order chaotic systems.
10.5K Downloads
Updated 26 Mar 2016

View License

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

Cite As

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

MATLAB Release Compatibility
Created with R14
Compatible with any release
Platform Compatibility
Windows macOS Linux
Categories
Find more on Nonlinear Dynamics in Help Center and MATLAB Answers

Community Treasure Hunt

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

Start Hunting!
Version Published Release Notes
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