Active Control of a Chaotic Fractional Order Economic System
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 algori...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2015-08-01
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| Series: | Entropy |
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| Online Access: | http://www.mdpi.com/1099-4300/17/8/5771 |
| _version_ | 1818006878914871296 |
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| author | Haci Mehmet Baskonus Toufik Mekkaoui Zakia Hammouch Hasan Bulut |
| author_facet | Haci Mehmet Baskonus Toufik Mekkaoui Zakia Hammouch Hasan Bulut |
| author_sort | Haci Mehmet Baskonus |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-14T05:07:32Z |
| format | Article |
| id | doaj.art-740f49b8cdc74287b1396e2a244c81f9 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-14T05:07:32Z |
| publishDate | 2015-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-740f49b8cdc74287b1396e2a244c81f92022-12-22T02:10:39ZengMDPI AGEntropy1099-43002015-08-011785771578310.3390/e17085771e17085771Active Control of a Chaotic Fractional Order Economic SystemHaci Mehmet Baskonus0Toufik Mekkaoui1Zakia Hammouch2Hasan Bulut3Department of Computer Engineering, Faculty of Engineering, University of Tunceli, 62100 Tunceli, TurkeyMI Group, Department of Mathematics, Faculty of Sciences and Techniques of Errachidia, Moulay Ismail University, 52000 Meknes, MoroccoMI Group, Department of Mathematics, Faculty of Sciences and Techniques of Errachidia, Moulay Ismail University, 52000 Meknes, MoroccoDepartment of Mathematics, Faculty of Science, Firat University, 23100 Elazig, TurkeyIn 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.http://www.mdpi.com/1099-4300/17/8/5771fractional-order differential equations (FDEs)chaoseconomic systemactive control |
| spellingShingle | Haci Mehmet Baskonus Toufik Mekkaoui Zakia Hammouch Hasan Bulut Active Control of a Chaotic Fractional Order Economic System Entropy fractional-order differential equations (FDEs) chaos economic system active control |
| title | Active Control of a Chaotic Fractional Order Economic System |
| title_full | Active Control of a Chaotic Fractional Order Economic System |
| title_fullStr | Active Control of a Chaotic Fractional Order Economic System |
| title_full_unstemmed | Active Control of a Chaotic Fractional Order Economic System |
| title_short | Active Control of a Chaotic Fractional Order Economic System |
| title_sort | active control of a chaotic fractional order economic system |
| topic | fractional-order differential equations (FDEs) chaos economic system active control |
| url | http://www.mdpi.com/1099-4300/17/8/5771 |
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