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Discrete Chaos in Fractional Delayed Logistic Maps

dc.contributor.author Baleanu, Dumitru
dc.contributor.author Wu, Guo-Cheng
dc.contributor.other 02.02. Matematik
dc.contributor.other 02. Fen-Edebiyat Fakültesi
dc.contributor.other 01. Çankaya Üniversitesi
dc.date.accessioned 2017-03-29T08:48:12Z
dc.date.accessioned 2025-09-18T12:09:01Z
dc.date.available 2017-03-29T08:48:12Z
dc.date.available 2025-09-18T12:09:01Z
dc.date.issued 2015
dc.description Wu, Guo-Cheng/0000-0002-1946-6770 en_US
dc.description.abstract Recently the discrete fractional calculus (DFC) started to gain much importance due to its applications to the mathematical modeling of realworld phenomena with memory effect. In this paper, the delayed logistic equation is discretized by utilizing the DFC approach and the related discrete chaos is reported. The Lyapunov exponent together with the discrete attractors and the bifurcation diagrams are given. en_US
dc.description.publishedMonth 6
dc.description.sponsorship National Natural Science Foundation of China [11301257]; Seed Funds for Major Science and Technology Innovation Projects of Sichuan Provincial Education Department [14CZ0026]; Innovative Team Program of Sichuan Provincial Universities [13TD0001] en_US
dc.description.sponsorship This work was financially supported by the National Natural Science Foundation of China (Grant No. 11301257), the Seed Funds for Major Science and Technology Innovation Projects of Sichuan Provincial Education Department (Grant No. 14CZ0026) and the Innovative Team Program of Sichuan Provincial Universities (Grant No. 13TD0001). The authors also thanks for the referees' sincere and helpful suggestions to improve the work. One of the authors (G.C. Wu) feels grateful to Prof. Yu Xue for his important comments and remarks during the preliminary stage of writing this manuscript. en_US
dc.identifier.citation Wu, G.C., Baleanu, D. (2015). Discrete chaos in fractional delayed logistic maps. Nonlinear Dynamics, 80(4), 1697-1703. http://dx.doi.org/10.1007/s11071-014-1250-3 en_US
dc.identifier.doi 10.1007/s11071-014-1250-3
dc.identifier.issn 0924-090X
dc.identifier.issn 1573-269X
dc.identifier.scopus 2-s2.0-84929521433
dc.identifier.uri https://doi.org/10.1007/s11071-014-1250-3
dc.identifier.uri https://hdl.handle.net/123456789/11275
dc.language.iso en en_US
dc.publisher Springer en_US
dc.rights info:eu-repo/semantics/closedAccess en_US
dc.subject Discrete Fractional Calculus en_US
dc.subject Chaos en_US
dc.subject Caputo-Like Delta Difference en_US
dc.title Discrete Chaos in Fractional Delayed Logistic Maps en_US
dc.title Discrete chaos in fractional delayed logistic maps tr_TR
dc.type Article en_US
dspace.entity.type Publication
gdc.author.id Wu, Guo-Cheng/0000-0002-1946-6770
gdc.author.institutional Baleanu, Dumitru
gdc.author.scopusid 23390775700
gdc.author.scopusid 7005872966
gdc.author.wosid Baleanu, Dumitru/B-9936-2012
gdc.author.wosid Wu, Guo-Cheng/T-9088-2017
gdc.description.department Çankaya University en_US
gdc.description.departmenttemp [Wu, Guo-Cheng] Neijiang Normal Univ, Coll Math & Informat Sci, Key Lab Numer Simulat Sichuan Prov, Neijiang 641112, Peoples R China; [Wu, Guo-Cheng] Sichuan Univ, Coll Water Resource & Hydropower, Chengdu 610065, Peoples R China; [Baleanu, Dumitru] King Abdulaziz Univ, Dept Chem & Mat Engn, Fac Engn, Jeddah 21589, Saudi Arabia; [Baleanu, Dumitru] Cankaya Univ, Fac Arts & Sci, Dept Math & Comp Sci, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Bucharest, Romania en_US
gdc.description.endpage 1703 en_US
gdc.description.issue 4 en_US
gdc.description.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
gdc.description.scopusquality Q1
gdc.description.startpage 1697 en_US
gdc.description.volume 80 en_US
gdc.description.woscitationindex Science Citation Index Expanded
gdc.description.wosquality Q1
gdc.identifier.openalex W2033635401
gdc.identifier.wos WOS:000355880000005
gdc.openalex.fwci 6.31441978
gdc.openalex.normalizedpercentile 0.97
gdc.openalex.toppercent TOP 10%
gdc.opencitations.count 137
gdc.plumx.crossrefcites 37
gdc.plumx.mendeley 23
gdc.plumx.scopuscites 159
gdc.scopus.citedcount 159
gdc.wos.citedcount 143
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