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# 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.

http://www.springer.com/engineering/contro...8-3-642-18100-9

or Chinese edition:

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

Free download from Shareware Connection - This toolbox contains the functions which can be used to simulate some of the well-known fractional order chaotic systems

Publisher: Ivo Petras | License: Shareware
Version: 1.0 | Size: 20 KB | Platform: Matlab, Scripts
Released Date: 10-06-2013 | Rating: 0 | Title: Fractional Order Chaotic Systems

Author Url: http://www.mathworks.com
Program Info Url: http://www.mathworks.com

Discrete Fractional-Order PID Controller - Digital version of Fractional-Order PID Controller (DFOC) of the form: C(s) = K + Ti/s^m + Td*s^d for given sampling period Ts [sec].

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Orthogonal Linear Regression in 3D-space by using Principal Components Analysis - Orthogonal Linear Regression in 3D-space by using Principal Components Analysis

Digital fractional-order differentiator and integrator - new IIR type - A new general IIR type digital fractional-order differentiator

Digital Fractional Order Differentiator/integrator - IIR type - A new general IIR digital fractional order differentiator/integrator based on continued fraction expansion of weighted operator which is mixed scheme of the trapezoidal (Tustin) rule and the backward difference (Euler) rule

Fractional Order Chaotic Systems keywords:

Discrete Fractional-Order PID Controller - Digital version of Fractional-Order PID Controller (DFOC) of the form: C(s) = K + Ti/s^m + Td*s^d for given sampling period Ts [sec].

Digital Fractional Order Differentiator/integrator - IIR type - A new general IIR digital fractional order differentiator/integrator based on continued fraction expansion of weighted operator which is mixed scheme of the trapezoidal (Tustin) rule and the backward difference (Euler) rule

Digital Fractional Order Differentiator/integrator - FIR type. - A new general FIR digital fractional order differentiator/integrator based on power series expansion of the backward difference (Euler) rule.

Digital fractional-order differentiator and integrator - new IIR type - A new general IIR type digital fractional-order differentiator

Predictor-Corrector Method for constant, variable and random fractional order relaxation equation - fractPC.m provides the Predictor-corrector Method for fractional order Relaxation-Oscillation equation

Shareware Connection periodically updates pricing and software information of 'Fractional Order Chaotic Systems' from company source 'Ivo Petras' , so some information may be slightly out-of-date. You should confirm all information before relying on it. Software piracy is theft,  Using 'Fractional Order Chaotic Systems' crack, password, serial numbers, registration codes, key generators is illegal and prevent future development of Fractional Order Chaotic Systems.

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