On chaos in the fractional-order Grassi–Miller map and its control
In this paper, we propose and examine the fractional form corresponding to the Grassi–Miller integer-order discrete-time system. We show experimental phase portraits and bifurcation diagrams to highlight the ranges of parameters and fractional orders over which chaos is observed. In addition, we pro...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Ouannas, Adel [verfasserIn] |
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E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2019transfer abstract |
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| Umfang: |
13 |
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| Übergeordnetes Werk: |
Enthalten in: Dielectric relaxation and microwave dielectric properties of low temperature sintering LiMnPO4 ceramics - Hu, Xing ELSEVIER, 2015transfer abstract, Amsterdam [u.a.] |
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| Übergeordnetes Werk: |
volume:358 ; year:2019 ; day:1 ; month:10 ; pages:293-305 ; extent:13 |
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10.1016/j.cam.2019.03.031 |
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| 520 | |a In this paper, we propose and examine the fractional form corresponding to the Grassi–Miller integer-order discrete-time system. We show experimental phase portraits and bifurcation diagrams to highlight the ranges of parameters and fractional orders over which chaos is observed. In addition, we propose two distinct control schemes for the proposed fractional map. The first controller stabilizes the states and forces them towards zero asymptotically. The second controller aims to synchronize a pair of maps with non-identical parameters. Throughout the paper, numerical results are presented to verify the analytic results. | ||
| 520 | |a In this paper, we propose and examine the fractional form corresponding to the Grassi–Miller integer-order discrete-time system. We show experimental phase portraits and bifurcation diagrams to highlight the ranges of parameters and fractional orders over which chaos is observed. In addition, we propose two distinct control schemes for the proposed fractional map. The first controller stabilizes the states and forces them towards zero asymptotically. The second controller aims to synchronize a pair of maps with non-identical parameters. Throughout the paper, numerical results are presented to verify the analytic results. | ||
| 650 | 7 | |a Fractional discrete chaos |2 Elsevier | |
| 650 | 7 | |a Fractional Grassi–Miller map |2 Elsevier | |
| 650 | 7 | |a Stabilization |2 Elsevier | |
| 650 | 7 | |a Bifurcation |2 Elsevier | |
| 650 | 7 | |a Synchronization |2 Elsevier | |
| 650 | 7 | |a Grassi–Miller map |2 Elsevier | |
| 700 | 1 | |a Khennaoui, Amina-Aicha |4 oth | |
| 700 | 1 | |a Grassi, Giuseppe |4 oth | |
| 700 | 1 | |a Bendoukha, Samir |4 oth | |
| 773 | 0 | 8 | |i Enthalten in |n North-Holland |a Hu, Xing ELSEVIER |t Dielectric relaxation and microwave dielectric properties of low temperature sintering LiMnPO4 ceramics |d 2015transfer abstract |g Amsterdam [u.a.] |w (DE-627)ELV013217658 |
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10.1016/j.cam.2019.03.031 doi GBV00000000000581.pica (DE-627)ELV046401210 (ELSEVIER)S0377-0427(19)30156-6 DE-627 ger DE-627 rakwb eng 670 VZ 540 VZ 630 VZ Ouannas, Adel verfasserin aut On chaos in the fractional-order Grassi–Miller map and its control 2019transfer abstract 13 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper, we propose and examine the fractional form corresponding to the Grassi–Miller integer-order discrete-time system. We show experimental phase portraits and bifurcation diagrams to highlight the ranges of parameters and fractional orders over which chaos is observed. In addition, we propose two distinct control schemes for the proposed fractional map. The first controller stabilizes the states and forces them towards zero asymptotically. The second controller aims to synchronize a pair of maps with non-identical parameters. Throughout the paper, numerical results are presented to verify the analytic results. In this paper, we propose and examine the fractional form corresponding to the Grassi–Miller integer-order discrete-time system. We show experimental phase portraits and bifurcation diagrams to highlight the ranges of parameters and fractional orders over which chaos is observed. In addition, we propose two distinct control schemes for the proposed fractional map. The first controller stabilizes the states and forces them towards zero asymptotically. The second controller aims to synchronize a pair of maps with non-identical parameters. Throughout the paper, numerical results are presented to verify the analytic results. Fractional discrete chaos Elsevier Fractional Grassi–Miller map Elsevier Stabilization Elsevier Bifurcation Elsevier Synchronization Elsevier Grassi–Miller map Elsevier Khennaoui, Amina-Aicha oth Grassi, Giuseppe oth Bendoukha, Samir oth Enthalten in North-Holland Hu, Xing ELSEVIER Dielectric relaxation and microwave dielectric properties of low temperature sintering LiMnPO4 ceramics 2015transfer abstract Amsterdam [u.a.] (DE-627)ELV013217658 volume:358 year:2019 day:1 month:10 pages:293-305 extent:13 https://doi.org/10.1016/j.cam.2019.03.031 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA AR 358 2019 1 1001 293-305 13 |
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10.1016/j.cam.2019.03.031 doi GBV00000000000581.pica (DE-627)ELV046401210 (ELSEVIER)S0377-0427(19)30156-6 DE-627 ger DE-627 rakwb eng 670 VZ 540 VZ 630 VZ Ouannas, Adel verfasserin aut On chaos in the fractional-order Grassi–Miller map and its control 2019transfer abstract 13 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper, we propose and examine the fractional form corresponding to the Grassi–Miller integer-order discrete-time system. We show experimental phase portraits and bifurcation diagrams to highlight the ranges of parameters and fractional orders over which chaos is observed. In addition, we propose two distinct control schemes for the proposed fractional map. The first controller stabilizes the states and forces them towards zero asymptotically. The second controller aims to synchronize a pair of maps with non-identical parameters. Throughout the paper, numerical results are presented to verify the analytic results. In this paper, we propose and examine the fractional form corresponding to the Grassi–Miller integer-order discrete-time system. We show experimental phase portraits and bifurcation diagrams to highlight the ranges of parameters and fractional orders over which chaos is observed. In addition, we propose two distinct control schemes for the proposed fractional map. The first controller stabilizes the states and forces them towards zero asymptotically. The second controller aims to synchronize a pair of maps with non-identical parameters. Throughout the paper, numerical results are presented to verify the analytic results. Fractional discrete chaos Elsevier Fractional Grassi–Miller map Elsevier Stabilization Elsevier Bifurcation Elsevier Synchronization Elsevier Grassi–Miller map Elsevier Khennaoui, Amina-Aicha oth Grassi, Giuseppe oth Bendoukha, Samir oth Enthalten in North-Holland Hu, Xing ELSEVIER Dielectric relaxation and microwave dielectric properties of low temperature sintering LiMnPO4 ceramics 2015transfer abstract Amsterdam [u.a.] (DE-627)ELV013217658 volume:358 year:2019 day:1 month:10 pages:293-305 extent:13 https://doi.org/10.1016/j.cam.2019.03.031 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA AR 358 2019 1 1001 293-305 13 |
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10.1016/j.cam.2019.03.031 doi GBV00000000000581.pica (DE-627)ELV046401210 (ELSEVIER)S0377-0427(19)30156-6 DE-627 ger DE-627 rakwb eng 670 VZ 540 VZ 630 VZ Ouannas, Adel verfasserin aut On chaos in the fractional-order Grassi–Miller map and its control 2019transfer abstract 13 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper, we propose and examine the fractional form corresponding to the Grassi–Miller integer-order discrete-time system. We show experimental phase portraits and bifurcation diagrams to highlight the ranges of parameters and fractional orders over which chaos is observed. In addition, we propose two distinct control schemes for the proposed fractional map. The first controller stabilizes the states and forces them towards zero asymptotically. The second controller aims to synchronize a pair of maps with non-identical parameters. Throughout the paper, numerical results are presented to verify the analytic results. In this paper, we propose and examine the fractional form corresponding to the Grassi–Miller integer-order discrete-time system. We show experimental phase portraits and bifurcation diagrams to highlight the ranges of parameters and fractional orders over which chaos is observed. In addition, we propose two distinct control schemes for the proposed fractional map. The first controller stabilizes the states and forces them towards zero asymptotically. The second controller aims to synchronize a pair of maps with non-identical parameters. Throughout the paper, numerical results are presented to verify the analytic results. Fractional discrete chaos Elsevier Fractional Grassi–Miller map Elsevier Stabilization Elsevier Bifurcation Elsevier Synchronization Elsevier Grassi–Miller map Elsevier Khennaoui, Amina-Aicha oth Grassi, Giuseppe oth Bendoukha, Samir oth Enthalten in North-Holland Hu, Xing ELSEVIER Dielectric relaxation and microwave dielectric properties of low temperature sintering LiMnPO4 ceramics 2015transfer abstract Amsterdam [u.a.] (DE-627)ELV013217658 volume:358 year:2019 day:1 month:10 pages:293-305 extent:13 https://doi.org/10.1016/j.cam.2019.03.031 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA AR 358 2019 1 1001 293-305 13 |
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10.1016/j.cam.2019.03.031 doi GBV00000000000581.pica (DE-627)ELV046401210 (ELSEVIER)S0377-0427(19)30156-6 DE-627 ger DE-627 rakwb eng 670 VZ 540 VZ 630 VZ Ouannas, Adel verfasserin aut On chaos in the fractional-order Grassi–Miller map and its control 2019transfer abstract 13 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper, we propose and examine the fractional form corresponding to the Grassi–Miller integer-order discrete-time system. We show experimental phase portraits and bifurcation diagrams to highlight the ranges of parameters and fractional orders over which chaos is observed. In addition, we propose two distinct control schemes for the proposed fractional map. The first controller stabilizes the states and forces them towards zero asymptotically. The second controller aims to synchronize a pair of maps with non-identical parameters. Throughout the paper, numerical results are presented to verify the analytic results. In this paper, we propose and examine the fractional form corresponding to the Grassi–Miller integer-order discrete-time system. We show experimental phase portraits and bifurcation diagrams to highlight the ranges of parameters and fractional orders over which chaos is observed. In addition, we propose two distinct control schemes for the proposed fractional map. The first controller stabilizes the states and forces them towards zero asymptotically. The second controller aims to synchronize a pair of maps with non-identical parameters. Throughout the paper, numerical results are presented to verify the analytic results. Fractional discrete chaos Elsevier Fractional Grassi–Miller map Elsevier Stabilization Elsevier Bifurcation Elsevier Synchronization Elsevier Grassi–Miller map Elsevier Khennaoui, Amina-Aicha oth Grassi, Giuseppe oth Bendoukha, Samir oth Enthalten in North-Holland Hu, Xing ELSEVIER Dielectric relaxation and microwave dielectric properties of low temperature sintering LiMnPO4 ceramics 2015transfer abstract Amsterdam [u.a.] (DE-627)ELV013217658 volume:358 year:2019 day:1 month:10 pages:293-305 extent:13 https://doi.org/10.1016/j.cam.2019.03.031 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA AR 358 2019 1 1001 293-305 13 |
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10.1016/j.cam.2019.03.031 doi GBV00000000000581.pica (DE-627)ELV046401210 (ELSEVIER)S0377-0427(19)30156-6 DE-627 ger DE-627 rakwb eng 670 VZ 540 VZ 630 VZ Ouannas, Adel verfasserin aut On chaos in the fractional-order Grassi–Miller map and its control 2019transfer abstract 13 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper, we propose and examine the fractional form corresponding to the Grassi–Miller integer-order discrete-time system. We show experimental phase portraits and bifurcation diagrams to highlight the ranges of parameters and fractional orders over which chaos is observed. In addition, we propose two distinct control schemes for the proposed fractional map. The first controller stabilizes the states and forces them towards zero asymptotically. The second controller aims to synchronize a pair of maps with non-identical parameters. Throughout the paper, numerical results are presented to verify the analytic results. In this paper, we propose and examine the fractional form corresponding to the Grassi–Miller integer-order discrete-time system. We show experimental phase portraits and bifurcation diagrams to highlight the ranges of parameters and fractional orders over which chaos is observed. In addition, we propose two distinct control schemes for the proposed fractional map. The first controller stabilizes the states and forces them towards zero asymptotically. The second controller aims to synchronize a pair of maps with non-identical parameters. Throughout the paper, numerical results are presented to verify the analytic results. Fractional discrete chaos Elsevier Fractional Grassi–Miller map Elsevier Stabilization Elsevier Bifurcation Elsevier Synchronization Elsevier Grassi–Miller map Elsevier Khennaoui, Amina-Aicha oth Grassi, Giuseppe oth Bendoukha, Samir oth Enthalten in North-Holland Hu, Xing ELSEVIER Dielectric relaxation and microwave dielectric properties of low temperature sintering LiMnPO4 ceramics 2015transfer abstract Amsterdam [u.a.] (DE-627)ELV013217658 volume:358 year:2019 day:1 month:10 pages:293-305 extent:13 https://doi.org/10.1016/j.cam.2019.03.031 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA AR 358 2019 1 1001 293-305 13 |
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On chaos in the fractional-order Grassi–Miller map and its control |
| abstract |
In this paper, we propose and examine the fractional form corresponding to the Grassi–Miller integer-order discrete-time system. We show experimental phase portraits and bifurcation diagrams to highlight the ranges of parameters and fractional orders over which chaos is observed. In addition, we propose two distinct control schemes for the proposed fractional map. The first controller stabilizes the states and forces them towards zero asymptotically. The second controller aims to synchronize a pair of maps with non-identical parameters. Throughout the paper, numerical results are presented to verify the analytic results. |
| abstractGer |
In this paper, we propose and examine the fractional form corresponding to the Grassi–Miller integer-order discrete-time system. We show experimental phase portraits and bifurcation diagrams to highlight the ranges of parameters and fractional orders over which chaos is observed. In addition, we propose two distinct control schemes for the proposed fractional map. The first controller stabilizes the states and forces them towards zero asymptotically. The second controller aims to synchronize a pair of maps with non-identical parameters. Throughout the paper, numerical results are presented to verify the analytic results. |
| abstract_unstemmed |
In this paper, we propose and examine the fractional form corresponding to the Grassi–Miller integer-order discrete-time system. We show experimental phase portraits and bifurcation diagrams to highlight the ranges of parameters and fractional orders over which chaos is observed. In addition, we propose two distinct control schemes for the proposed fractional map. The first controller stabilizes the states and forces them towards zero asymptotically. The second controller aims to synchronize a pair of maps with non-identical parameters. Throughout the paper, numerical results are presented to verify the analytic results. |
| collection_details |
GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA |
| title_short |
On chaos in the fractional-order Grassi–Miller map and its control |
| url |
https://doi.org/10.1016/j.cam.2019.03.031 |
| remote_bool |
true |
| author2 |
Khennaoui, Amina-Aicha Grassi, Giuseppe Bendoukha, Samir |
| author2Str |
Khennaoui, Amina-Aicha Grassi, Giuseppe Bendoukha, Samir |
| ppnlink |
ELV013217658 |
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| isOA_txt |
false |
| hochschulschrift_bool |
false |
| author2_role |
oth oth oth |
| doi_str |
10.1016/j.cam.2019.03.031 |
| up_date |
2024-07-06T20:08:07.738Z |
| _version_ |
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