New fractional modelling and control analysis of the circumscribed self-excited spherical strange attractor

Basit Öğe Kaydı
dc.contributor.authorAkgul, Ali
dc.contributor.authorPartohaghighi, Mohammad
dc.date.accessioned2024-12-24T19:25:26Z
dc.date.available2024-12-24T19:25:26Z
dc.date.issued2022
dc.departmentSiirt Üniversitesi
dc.description.abstractThe purpose of this study is to present and examine a novel non-integer model of the circumscribed selfexcited spherical strange attractor, which has not been worked yet. To design the fractional-order model, we use the Caputo-Fabrizio derivative. In order to ensure the existence of the solution Picard-Lindel and fixed-point theories are provided. Moreover, the stability of the considered fractional-order model is shown using the Picard iteration and fixed point theory approach. To get the approximate solutions of the proposed fractional model an efficient numerical scheme called the fractional Euler method(FEM) is used. To see the performance of the used method, the behavior of the numerical solutions of the model is examined under various initial conditions(ICs) and fractional orders. Considerable chaotic behaviors of the solutions are obtained which prove the accuracy and reliability of FEM. (c) 2022 Elsevier Ltd. All rights reserved.
dc.identifier.doi10.1016/j.chaos.2022.111956
dc.identifier.issn0960-0779
dc.identifier.issn1873-2887
dc.identifier.scopus2-s2.0-85126702175
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1016/j.chaos.2022.111956
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6414
dc.identifier.volume158
dc.identifier.wosWOS:000800366500016
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherPergamon-Elsevier Science Ltd
dc.relation.ispartofChaos Solitons & Fractals
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectnumerical method
dc.subjectspherical strange attractor
dc.subjectmathematical modelling
dc.subjectnumerical simulation
dc.titleNew fractional modelling and control analysis of the circumscribed self-excited spherical strange attractor
dc.typeArticle

Dosyalar

Koleksiyon

WOS İndeksli Yayınlar Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu