New Variable-Order Fractional Chaotic Systems for Fast Image Encryption
| dc.contributor.author | Deng, Zhen-Guo | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Zeng, De-Qiang | |
| dc.contributor.author | Wu, Guo-Cheng | |
| dc.date.accessioned | 2020-02-12T07:11:55Z | |
| dc.date.accessioned | 2025-09-18T12:05:23Z | |
| dc.date.available | 2020-02-12T07:11:55Z | |
| dc.date.available | 2025-09-18T12:05:23Z | |
| dc.date.issued | 2019 | |
| dc.description | Wu, Guo-Cheng/0000-0002-1946-6770 | en_US |
| dc.description.abstract | New variable-order fractional chaotic systems are proposed in this paper. A concept of short memory is introduced where the initial point in the Caputo derivative is varied. The fractional order is defined by the use of a piecewise constant function which leads to rich chaotic dynamics. The predictor-corrector method is adopted, and numerical solutions of fractional delay equations are obtained. Then, this concept is extended to fractional difference equations, and generalized chaotic behaviors are discussed numerically. Finally, the new fractional chaotic models are applied to block image encryption and each block has a different fractional order. The new chaotic system improves security of the image encryption and saves the encryption time greatly. Published under license by AIP Publishing. | en_US |
| dc.description.sponsorship | Sichuan Province Youth Science and Technology Innovation Team [2019JDTD0015]; Sichuan Science and Technology Support Program [2017JY0199, 2018JY0120]; Guangxi Natural Science Foundation [2016GXNSFAA380261]; China Postdoctoral Science Foundation [2016M602632] | en_US |
| dc.description.sponsorship | This study was financially supported by the Sichuan Province Youth Science and Technology Innovation Team (Grant No. 2019JDTD0015), the Sichuan Science and Technology Support Program (Grant Nos. 2017JY0199 and 2018JY0120), the Guangxi Natural Science Foundation (Grant No. 2016GXNSFAA380261), and the China Postdoctoral Science Foundation (Grant No. 2016M602632). | en_US |
| dc.identifier.citation | Wu, Guo-Cheng...et al. (2019). "New variable-order fractional chaotic systems for fast image encryption", Chaos, Vol. 28, No. 8. | en_US |
| dc.identifier.doi | 10.1063/1.5096645 | |
| dc.identifier.issn | 1054-1500 | |
| dc.identifier.issn | 1089-7682 | |
| dc.identifier.scopus | 2-s2.0-85070440069 | |
| dc.identifier.uri | https://doi.org/10.1063/1.5096645 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/10591 | |
| dc.language.iso | en | en_US |
| dc.publisher | Amer inst Physics | en_US |
| dc.relation.ispartof | Chaos: An Interdisciplinary Journal of Nonlinear Science | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.title | New Variable-Order Fractional Chaotic Systems for Fast Image Encryption | en_US |
| dc.title | New variable-order fractional chaotic systems for fast image encryption | tr_TR |
| dc.type | Article | en_US |
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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; Zeng, De-Qiang] Neijiang Normal Univ, Coll Math & Informat Sci, Data Recovery Key Lab Sichuan Prov, Neijiang 641100, Peoples R China; [Deng, Zhen-Guo] Guangxi Univ, Sch Math & Informat Sci, Nanning 530004, Peoples R China; [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Hohai Univ, State Key Lab Hydrol Water Resources & Hydraul En, Nanjing 210098, Jiangsu, Peoples R China; [Baleanu, Dumitru] Inst Space Sci, POB MG-23, R-76900 Magurele, Romania | en_US |
| gdc.description.issue | 8 | en_US |
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| gdc.description.volume | 29 | en_US |
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| gdc.oaire.keywords | Complex behavior and chaotic systems of ordinary differential equations | |
| gdc.oaire.keywords | Cryptography | |
| gdc.oaire.keywords | Fractional ordinary differential equations | |
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