Chaos Synchronization of Fractional Chaotic Maps Based on the Stability Condition
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Xie, He-Ping | |
| dc.contributor.author | Chen, Fu-Lai | |
| dc.contributor.author | Wu, Guo-Cheng | |
| dc.date.accessioned | 2017-04-24T08:09:58Z | |
| dc.date.accessioned | 2025-09-18T14:10:45Z | |
| dc.date.available | 2017-04-24T08:09:58Z | |
| dc.date.available | 2025-09-18T14:10:45Z | |
| dc.date.issued | 2016 | |
| dc.description | Wu, Guo-Cheng/0000-0002-1946-6770; Xie, Heping/0000-0002-1686-7827 | en_US |
| dc.description.abstract | In the fractional calculus, one of the main challenges is to find suitable models which are properly described by discrete derivatives with memory. Fractional Logistic map and fractional Lorenz maps of Riemann-Liouville type are proposed in this paper. The general chaotic behaviors are investigated in comparison with the Caputo one. Chaos synchronization is designed according to the stability results. The numerical results show the method's effectiveness and fractional chaotic map's potential role for secure communication. (C) 2016 Published by Elsevier B.V. | en_US |
| dc.description.sponsorship | NSFC [11301257]; Chinese Ministry of Education Comprehensive Reform Program for Specialty of Mathematics and Applied Mathematics [ZG0464]; Sichuan Provincial Education Department Comprehensive Reform Program for Specialty of Mathematics and Applied Mathematics [01249] | en_US |
| dc.description.sponsorship | This study was financially supported by the NSFC (Grant No. 11301257), Chinese Ministry of Education Comprehensive Reform Program for Specialty of Mathematics and Applied Mathematics (Grant No. ZG0464) and Sichuan Provincial Education Department Comprehensive Reform Program for Specialty of Mathematics and Applied Mathematics (Grant No. 01249). | en_US |
| dc.identifier.citation | Wu, G.C...et al. (2016). Chaos synchronization of fractional chaotic maps based on the stability condition. Physica A-Statistical Mechanics And Its Applications, 460, 374-383. http://dx.doi.org/10.1016/j.physa.2016.05.045 | en_US |
| dc.identifier.doi | 10.1016/j.physa.2016.05.045 | |
| dc.identifier.issn | 0378-4371 | |
| dc.identifier.issn | 1873-2119 | |
| dc.identifier.scopus | 2-s2.0-84973573541 | |
| dc.identifier.uri | https://doi.org/10.1016/j.physa.2016.05.045 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13769 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier Science Bv | en_US |
| dc.relation.ispartof | Physica A: Statistical Mechanics and its Applications | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Fractional Differences | en_US |
| dc.subject | Fractional Lorenz Maps | en_US |
| dc.subject | Time Scale | en_US |
| dc.subject | Chaos Synchronization | en_US |
| dc.title | Chaos Synchronization of Fractional Chaotic Maps Based on the Stability Condition | en_US |
| dc.title | Chaos synchronization of fractional chaotic maps based on the stability condition | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Wu, Guo-Cheng/0000-0002-1946-6770 | |
| gdc.author.id | Xie, Heping/0000-0002-1686-7827 | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Wu, Guo-Cheng/T-9088-2017 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Wu, Guo-Cheng] Neijiang Normal Univ, Coll Math & Informat Sci, Data Recovery Key Lab Sichuan Prov, Neijiang 641100, Peoples R China; [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania; [Wu, Guo-Cheng; Xie, He-Ping] Sichuan Univ, Coll Water Resource & Hydropower, Chengdu 610065, Peoples R China; [Chen, Fu-Lai] Xiangnan Univ, Dept Math, Chenzhou 423000, Peoples R China | en_US |
| gdc.description.endpage | 383 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 374 | en_US |
| gdc.description.volume | 460 | en_US |
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| gdc.oaire.keywords | time scale | |
| gdc.oaire.keywords | chaos synchronization | |
| gdc.oaire.keywords | Synchronization of solutions to ordinary differential equations | |
| gdc.oaire.keywords | fractional Lorenz maps | |
| gdc.oaire.keywords | fractional differences | |
| gdc.oaire.keywords | Fractional ordinary differential equations | |
| gdc.oaire.keywords | Chaos control for problems involving ordinary differential equations | |
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