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Fractional Order Chaotic Systems

version 1.3.0.0 (16.2 KB) by Ivo Petras
Numerical solutions of the fractional order chaotic systems.

9.4K Downloads

Updated 26 Mar 2016

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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 (2021). 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
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