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dc.contributor.authorRadwan, Ahmed G.
dc.contributor.authorMoaddy, K.
dc.contributor.authorMomani, Shaher M.
dc.date.accessioned2015-08-03T09:31:50Z
dc.date.available2015-08-03T09:31:50Z
dc.date.issued2011-08
dc.identifier.issn08981221
dc.identifier.doi10.1016/j.camwa.2011.04.047
dc.identifier.urihttp://hdl.handle.net/10754/561826
dc.description.abstractIn this paper, we develop a framework to obtain approximate numerical solutions of the fractional-order Chua's circuit with Memristor using a non-standard finite difference method. Chaotic response is obtained with fractional-order elements as well as integer-order elements. Stability analysis and the condition of oscillation for the integer-order system are discussed. In addition, the stability analyses for different fractional-order cases are investigated showing a great sensitivity to small order changes indicating the poles' locations inside the physical s-plane. The GrnwaldLetnikov method is used to approximate the fractional derivatives. Numerical results are presented graphically and reveal that the non-standard finite difference scheme is an effective and convenient method to solve fractional-order chaotic systems, and to validate their stability. © 2011 Elsevier Ltd. All rights reserved.
dc.publisherElsevier BV
dc.subjectChaotic systems
dc.subjectChua's circuit
dc.subjectFractional differential equations
dc.subjectMemristor
dc.subjectNon-standard finite difference schemes
dc.titleStability and non-standard finite difference method of the generalized Chua's circuit
dc.typeArticle
dc.contributor.departmentElectrical Engineering Program
dc.contributor.departmentPhysical Science and Engineering (PSE) Division
dc.identifier.journalComputers & Mathematics with Applications
dc.contributor.institutionDepartment of Engineering Mathematics, Faculty of Engineering, Cairo University, Egypt
dc.contributor.institutionSchool of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Malaysia
dc.contributor.institutionDepartment of Mathematics, Faculty of Science, University of Jordan, Amman 11942, Jordan
kaust.personRadwan, Ahmed G.


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