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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.

http://academic.hep.com.cn/mh/nps/index.html

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
Download Url: http://www.mathworks.com/matlabcentral/fx_files/27336/3/FOChS.zip

More downloads from Fractional Order Chaotic Systems publisher Ivo Petras:

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].

Total Least Squares Method - We present a Matlab toolbox which can solve basic problems related to the Total Least Squares (TLS) method in the modeling.

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

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/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:
Fractional Order Chaotic Systems related downloads:

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

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