Chaotic Incommensurate Fractional Order Rossler System: Active Control and Synchronization
| dc.contributor.author | Majd, Vahid Johari | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Razminia, Abolhassan | |
| dc.date.accessioned | 2020-04-15T20:55:24Z | |
| dc.date.accessioned | 2025-09-18T12:05:07Z | |
| dc.date.available | 2020-04-15T20:55:24Z | |
| dc.date.available | 2025-09-18T12:05:07Z | |
| dc.date.issued | 2011 | |
| dc.description | Razminia, Abolhassan/0000-0001-5139-4255 | en_US |
| dc.description.abstract | In this article, we present an active control methodology for controlling the chaotic behavior of a fractional order version of Rossler system. The main feature of the designed controller is its simplicity for practical implementation. Although in controlling such complex system several inputs are used in general to actuate the states, in the proposed design, all states of the system are controlled via one input. Active synchronization of two chaotic fractional order Rossler systems is also investigated via a feedback linearization method. In both control and synchronization, numerical simulations show the efficiency of the proposed methods. | en_US |
| dc.identifier.citation | Razminia, Abolhassan; Majd, Vahid Johari; Baleanu, Dumitru, "Chaotic incommensurate fractional order Rossler system: active control and synchronization", (2011) | en_US |
| dc.identifier.doi | 10.1186/1687-1847-2011-15 | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-84866915975 | |
| dc.identifier.uri | https://doi.org/10.1186/1687-1847-2011-15 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/10525 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | Advances in Difference Equations | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Fractional Order System | en_US |
| dc.subject | Active Control | en_US |
| dc.subject | Synchronization | en_US |
| dc.subject | Rossler System | en_US |
| dc.subject | Chaos | en_US |
| dc.title | Chaotic Incommensurate Fractional Order Rossler System: Active Control and Synchronization | en_US |
| dc.title | Chaotic Incommensurate Fractional Order Rossler System: Active Control and Synchronization | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Razminia, Abolhassan/0000-0001-5139-4255 | |
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| gdc.author.wosid | Majd, Vahid Johari/E-8480-2010 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Razminia, Abolhassan/G-5920-2018 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Razminia, Abolhassan; Majd, Vahid Johari] Tarbiat Modares Univ, Sch Elect & Comp Engn, Intelligent Control Syst Lab, Tehran, Iran; [Baleanu, Dumitru] Cankaya Univ, Fac Arts & Sci, Dept Math & Comp Sci, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele 76900, Romania | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.volume | 2011 | |
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| gdc.oaire.keywords | Algebra and Number Theory | |
| gdc.oaire.keywords | Applied Mathematics | |
| gdc.oaire.keywords | Analysis | |
| gdc.oaire.keywords | chaos | |
| gdc.oaire.keywords | active control | |
| gdc.oaire.keywords | Synchronization of solutions to ordinary differential equations | |
| gdc.oaire.keywords | Fractional ordinary differential equations | |
| gdc.oaire.keywords | Feedback control | |
| gdc.oaire.keywords | fractional-order system | |
| gdc.oaire.keywords | Linearizations | |
| gdc.oaire.keywords | Rössler system | |
| gdc.oaire.keywords | Complex behavior and chaotic systems of ordinary differential equations | |
| gdc.oaire.keywords | Chaos control for problems involving ordinary differential equations | |
| gdc.oaire.keywords | synchronization | |
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| gdc.virtual.author | Baleanu, Dumitru | |
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