Active Control of a Chaotic Fractional Order Economic System
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Department of Computer Engineering, Faculty of Engineering, University of Tunceli, 62100 Tunceli, Turkey
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MI Group, Department of Mathematics, Faculty of Sciences and Techniques of Errachidia, Moulay Ismail University, 52000 Meknes, Morocco
3
Department of Mathematics, Faculty of Science, Firat University, 23100 Elazig, Turkey
*
Author to whom correspondence should be addressed.
Academic Editor: Carlo Cattani
Entropy 2015, 17(8), 5771-5783; https://doi.org/10.3390/e17085771
Received: 3 June 2015 / Revised: 30 July 2015 / Accepted: 3 August 2015 / Published: 11 August 2015
(This article belongs to the Special Issue Wavelets, Fractals and Information Theory I)
In this paper, a fractional order economic system is studied. An active control technique is applied to control chaos in this system. The stabilization of equilibria is obtained by both theoretical analysis and the simulation result. The numerical simulations, via the improved Adams–Bashforth algorithm, show the effectiveness of the proposed controller.
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MDPI and ACS Style
Baskonus, H.M.; Mekkaoui, T.; Hammouch, Z.; Bulut, H. Active Control of a Chaotic Fractional Order Economic System. Entropy 2015, 17, 5771-5783. https://doi.org/10.3390/e17085771
AMA Style
Baskonus HM, Mekkaoui T, Hammouch Z, Bulut H. Active Control of a Chaotic Fractional Order Economic System. Entropy. 2015; 17(8):5771-5783. https://doi.org/10.3390/e17085771
Chicago/Turabian StyleBaskonus, Haci M.; Mekkaoui, Toufik; Hammouch, Zakia; Bulut, Hasan. 2015. "Active Control of a Chaotic Fractional Order Economic System" Entropy 17, no. 8: 5771-5783. https://doi.org/10.3390/e17085771
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