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Fractional Order Chaotic Systems

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Fractional Order Chaotic Systems

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22 Apr 2010 (Updated )

Numerical solutions of the fractional order chaotic systems.

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Description

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/mh/nps/index.html

Zentralblatt MATH Database review:

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

MATLAB release MATLAB 7 (R14)
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Comments and Ratings (9)
08 Aug 2014 Vembarasan V  
16 Apr 2014 Nguyen  
20 Jan 2013 Luis Antonio Aguirre  
20 Jan 2013 Luis Antonio Aguirre  
20 Jan 2013 Luis Antonio Aguirre

Plug-and-play workable code. Excellent!

09 Nov 2012 maha hussein  
20 Dec 2011 ehs  
17 Oct 2010 Xinsong Yang

very good, but when adaptive controller is added to them, some problems seems arise. Will the author teach me? Thanks.

27 Apr 2010 rachana pathak

nice it is so helpful for beginner...

Updates
30 Nov 2010

Added a link to book with more details.

17 Apr 2011

Description update.

29 Nov 2011

Updated description. Added tag.

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