Fractional-order Chua’s system: discretization, bifurcation and chaos

In this paper we are interested in the fractional-order form of Chua’s system. A discretization process will be applied to obtain its discrete version. Fixed points and their asymptotic stability are investigated. Chaotic attractor, bifurcation and chaos for different values of the fractional-order...

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Bibliographic Details
Published in:Advances in difference equations 2013-11, Vol.2013 (1), p.320-320, Article 320
Main Authors: Agarwal, Ravi P, El-Sayed, Ahmed M A, Salman, Sanaa M
Format: Article
Language:English
Subjects:
Analysis
Difference and Functional Equations
Functional Analysis
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Research Article
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Summary:In this paper we are interested in the fractional-order form of Chua’s system. A discretization process will be applied to obtain its discrete version. Fixed points and their asymptotic stability are investigated. Chaotic attractor, bifurcation and chaos for different values of the fractional-order parameter are discussed. We show that the proposed discretization method is different from other discretization methods, such as predictor-corrector and Euler methods, in the sense that our method is an approximation for the right-hand side of the system under study.
ISSN:1687-1847
1687-1847
DOI:10.1186/1687-1847-2013-320