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NUMERICAL ANALYSIS FOR HIDDEN CHAOTIC BEHAVIOR OF A COUPLED MEMRISTIVE DYNAMICAL SYSTEM VIA FRACTAL-FRACTIONAL OPERATOR BASED ON NEWTON POLYNOMIAL INTERPOLATION

dc.contributor.authorAbdelmohsen, Shaimaa A. M.
dc.contributor.authorAhmad, Shabir
dc.contributor.authorYassen, Mansour F.
dc.contributor.authorAsiri, Saeed Ahmed
dc.contributor.authorAshraf, Abdelbacki M. M.
dc.contributor.authorSaifullah, Sayed
dc.contributor.authorJarad, Fahd
dc.contributor.authorID234808tr_TR
dc.date.accessioned2024-06-13T11:45:39Z
dc.date.available2024-06-13T11:45:39Z
dc.date.issued2023
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractDynamical features of a coupled memristive chaotic system have been studied using a fractal-fractional derivative in the sense of Atangana-Baleanu. Dissipation, Poincaré section, phase portraits, and time-series behaviors are all examined. The dissipation property shows that the suggested system is dissipative as long as the parameter g > 0. Similarly, from the Poincaré section it is observed that, lowering the value of the fractal dimension, an asymmetric attractor emerges in the system. In addition, fixed point notions are used to analyze the existence and uniqueness of the solution from a fractal-fractional perspective. Numerical analysis using the Adams-Bashforth method which is based on Newton's Polynomial Interpolation is performed. Furthermore, multiple projections of the system with different fractional orders and fractal dimensions are quantitatively demonstrated, revealing new characteristics in the proposed model. The coupled memristive system exhibits certain novel, strange attractors and behaviors that are not observable by the local operators.en_US
dc.identifier.citationAbdelmohsen, Shaimaa A. M...et al. (2023). "NUMERICAL ANALYSIS FOR HIDDEN CHAOTIC BEHAVIOR OF A COUPLED MEMRISTIVE DYNAMICAL SYSTEM VIA FRACTAL-FRACTIONAL OPERATOR BASED ON NEWTON POLYNOMIAL INTERPOLATION", Fractals, Vol. 31, No. 10.en_US
dc.identifier.doi10.1142/S0218348X2340087X
dc.identifier.issn0218-348X
dc.identifier.issue10en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/8494
dc.identifier.volume31en_US
dc.language.isoenen_US
dc.relation.ispartofFractalsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectAdams-Bashforth Methoden_US
dc.subjectAsymmetric Attractoren_US
dc.subjectDissipationen_US
dc.titleNUMERICAL ANALYSIS FOR HIDDEN CHAOTIC BEHAVIOR OF A COUPLED MEMRISTIVE DYNAMICAL SYSTEM VIA FRACTAL-FRACTIONAL OPERATOR BASED ON NEWTON POLYNOMIAL INTERPOLATIONtr_TR
dc.titleNUMERICAL ANALYSIS FOR HIDDEN CHAOTIC BEHAVIOR OF A COUPLED MEMRISTIVE DYNAMICAL SYSTEM VIA FRACTAL-FRACTIONAL OPERATOR BASED ON NEWTON POLYNOMIAL INTERPOLATIONen_US
dc.typeArticleen_US
dspace.entity.typePublication

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