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...
Ausführliche Beschreibung
Autor*in: |
Haci Mehmet Baskonus [verfasserIn] Toufik Mekkaoui [verfasserIn] Zakia Hammouch [verfasserIn] Hasan Bulut [verfasserIn] |
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Format: |
E-Artikel |
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Sprache: |
Englisch |
Erschienen: |
2015 |
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Schlagwörter: |
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Übergeordnetes Werk: |
In: Entropy - MDPI AG, 2003, 17(2015), 8, Seite 5771-5783 |
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Übergeordnetes Werk: |
volume:17 ; year:2015 ; number:8 ; pages:5771-5783 |
Links: |
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DOI / URN: |
10.3390/e17085771 |
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Katalog-ID: |
DOAJ031157769 |
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10.3390/e17085771 doi (DE-627)DOAJ031157769 (DE-599)DOAJ740f49b8cdc74287b1396e2a244c81f9 DE-627 ger DE-627 rakwb eng QB460-466 QC1-999 Haci Mehmet Baskonus verfasserin aut Active Control of a Chaotic Fractional Order Economic System 2015 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier 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. fractional-order differential equations (FDEs) chaos economic system active control Science Q Astrophysics Physics Toufik Mekkaoui verfasserin aut Zakia Hammouch verfasserin aut Hasan Bulut verfasserin aut In Entropy MDPI AG, 2003 17(2015), 8, Seite 5771-5783 (DE-627)316340359 (DE-600)2014734-X 10994300 nnns volume:17 year:2015 number:8 pages:5771-5783 https://doi.org/10.3390/e17085771 kostenfrei https://doaj.org/article/740f49b8cdc74287b1396e2a244c81f9 kostenfrei http://www.mdpi.com/1099-4300/17/8/5771 kostenfrei https://doaj.org/toc/1099-4300 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 17 2015 8 5771-5783 |
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10.3390/e17085771 doi (DE-627)DOAJ031157769 (DE-599)DOAJ740f49b8cdc74287b1396e2a244c81f9 DE-627 ger DE-627 rakwb eng QB460-466 QC1-999 Haci Mehmet Baskonus verfasserin aut Active Control of a Chaotic Fractional Order Economic System 2015 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier 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. fractional-order differential equations (FDEs) chaos economic system active control Science Q Astrophysics Physics Toufik Mekkaoui verfasserin aut Zakia Hammouch verfasserin aut Hasan Bulut verfasserin aut In Entropy MDPI AG, 2003 17(2015), 8, Seite 5771-5783 (DE-627)316340359 (DE-600)2014734-X 10994300 nnns volume:17 year:2015 number:8 pages:5771-5783 https://doi.org/10.3390/e17085771 kostenfrei https://doaj.org/article/740f49b8cdc74287b1396e2a244c81f9 kostenfrei http://www.mdpi.com/1099-4300/17/8/5771 kostenfrei https://doaj.org/toc/1099-4300 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 17 2015 8 5771-5783 |
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10.3390/e17085771 doi (DE-627)DOAJ031157769 (DE-599)DOAJ740f49b8cdc74287b1396e2a244c81f9 DE-627 ger DE-627 rakwb eng QB460-466 QC1-999 Haci Mehmet Baskonus verfasserin aut Active Control of a Chaotic Fractional Order Economic System 2015 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier 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. fractional-order differential equations (FDEs) chaos economic system active control Science Q Astrophysics Physics Toufik Mekkaoui verfasserin aut Zakia Hammouch verfasserin aut Hasan Bulut verfasserin aut In Entropy MDPI AG, 2003 17(2015), 8, Seite 5771-5783 (DE-627)316340359 (DE-600)2014734-X 10994300 nnns volume:17 year:2015 number:8 pages:5771-5783 https://doi.org/10.3390/e17085771 kostenfrei https://doaj.org/article/740f49b8cdc74287b1396e2a244c81f9 kostenfrei http://www.mdpi.com/1099-4300/17/8/5771 kostenfrei https://doaj.org/toc/1099-4300 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 17 2015 8 5771-5783 |
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10.3390/e17085771 doi (DE-627)DOAJ031157769 (DE-599)DOAJ740f49b8cdc74287b1396e2a244c81f9 DE-627 ger DE-627 rakwb eng QB460-466 QC1-999 Haci Mehmet Baskonus verfasserin aut Active Control of a Chaotic Fractional Order Economic System 2015 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier 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. fractional-order differential equations (FDEs) chaos economic system active control Science Q Astrophysics Physics Toufik Mekkaoui verfasserin aut Zakia Hammouch verfasserin aut Hasan Bulut verfasserin aut In Entropy MDPI AG, 2003 17(2015), 8, Seite 5771-5783 (DE-627)316340359 (DE-600)2014734-X 10994300 nnns volume:17 year:2015 number:8 pages:5771-5783 https://doi.org/10.3390/e17085771 kostenfrei https://doaj.org/article/740f49b8cdc74287b1396e2a244c81f9 kostenfrei http://www.mdpi.com/1099-4300/17/8/5771 kostenfrei https://doaj.org/toc/1099-4300 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 17 2015 8 5771-5783 |
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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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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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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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|
score |
7.3992004 |