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Fractional Order Chaotic Systems

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Fractional Order Chaotic Systems


Ivo Petras (view profile)


22 Apr 2010 (Updated )

Numerical solutions of the fractional order chaotic systems.

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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.

or Chinese edition:

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

Zentralblatt MATH Database review:

MATLAB release MATLAB 7 (R14)
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Comments and Ratings (15)
01 Oct 2016 minghuxjh

An excellent contribution,thanks for your selfless share!

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20 Sep 2016 Sriraman Ramalingam

very useful to me. thanks

02 May 2016 jukkrit kluabwang

Very useful materials. Thank you very much.

21 Mar 2016 John Mike

Thank you for your unselfish dedication´╝ü

16 Feb 2016 Lizeth

Lizeth (view profile)

An excellent contribution. Thank you!

03 Nov 2014 Jorge

Jorge (view profile)

Hi I really appreciate your toolbox. I have a question. Does the numerical technique you have used in your code has a name? I mean the way you approximate the systems with the fractional derivatives has a name?. Thanks

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08 Aug 2014 Vembarasan V

16 Apr 2014 Nguyen

Nguyen (view profile)

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

ehs (view profile)

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...

30 Nov 2010 1.1

Added a link to book with more details.

17 Apr 2011 1.2

Description update.

29 Nov 2011 1.3

Updated description. Added tag.

26 Mar 2016 1.3

Description update.

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