Parametric Control on Fractional-Order Response for Lü Chaotic System

Handle URI:
http://hdl.handle.net/10754/554375
Title:
Parametric Control on Fractional-Order Response for Lü Chaotic System
Authors:
Moaddy, K; Radwan, A G; Salama, Khaled N. ( 0000-0001-7742-1282 ) ; Momani, S; Hashim, I
Abstract:
This paper discusses the influence of the fractional order parameter on conventional chaotic systems. These fractional-order parameters increase the system degree of freedom allowing it to enter new domains and thus it can be used as a control for such dynamical systems. This paper investigates the behaviour of the equally-fractional-order Lü chaotic system when changing the fractional-order parameter and determines the fractional-order ranges for chaotic behaviour. Five different parameter values and six fractional-order cases are discussed through this paper. Unlike the conventional parameters, as the fractional-order increases the system response begins with stability, passing by chaotic behaviour then reaches periodic response. As the system parameter α increases, a shift in the fractional order is required to maintain chaotic response.Therefore, the range of chaotic response can be expanded or minimized by controlling the fractional-order parameter. The non-standard finite difference method is used to solve the fractional-order Lü chaotic system numerically to validate these responses.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Citation:
Parametric Control on Fractional-Order Response for Lü Chaotic System 2013, 423:012024 Journal of Physics: Conference Series
Journal:
Journal of Physics: Conference Series
Conference/Event name:
2013 International Conference on Science and Engineering in Mathematics, Chemistry and Physics, ScieTech 2013
Issue Date:
10-Apr-2013
DOI:
10.1088/1742-6596/423/1/012024
Type:
Conference Paper
ISSN:
1742-6588; 1742-6596
Additional Links:
http://stacks.iop.org/1742-6596/423/i=1/a=012024?key=crossref.9726e96550103fd029913f0cbdd54cac
Appears in Collections:
Conference Papers; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorMoaddy, Ken
dc.contributor.authorRadwan, A Gen
dc.contributor.authorSalama, Khaled N.en
dc.contributor.authorMomani, Sen
dc.contributor.authorHashim, Ien
dc.date.accessioned2015-05-21T07:12:58Zen
dc.date.available2015-05-21T07:12:58Zen
dc.date.issued2013-04-10en
dc.identifier.citationParametric Control on Fractional-Order Response for Lü Chaotic System 2013, 423:012024 Journal of Physics: Conference Seriesen
dc.identifier.issn1742-6588en
dc.identifier.issn1742-6596en
dc.identifier.doi10.1088/1742-6596/423/1/012024en
dc.identifier.urihttp://hdl.handle.net/10754/554375en
dc.description.abstractThis paper discusses the influence of the fractional order parameter on conventional chaotic systems. These fractional-order parameters increase the system degree of freedom allowing it to enter new domains and thus it can be used as a control for such dynamical systems. This paper investigates the behaviour of the equally-fractional-order Lü chaotic system when changing the fractional-order parameter and determines the fractional-order ranges for chaotic behaviour. Five different parameter values and six fractional-order cases are discussed through this paper. Unlike the conventional parameters, as the fractional-order increases the system response begins with stability, passing by chaotic behaviour then reaches periodic response. As the system parameter α increases, a shift in the fractional order is required to maintain chaotic response.Therefore, the range of chaotic response can be expanded or minimized by controlling the fractional-order parameter. The non-standard finite difference method is used to solve the fractional-order Lü chaotic system numerically to validate these responses.en
dc.relation.urlhttp://stacks.iop.org/1742-6596/423/i=1/a=012024?key=crossref.9726e96550103fd029913f0cbdd54cacen
dc.rightsArchived with thanks to Journal of Physics: Conference Series Creative Commons Attribution License 3.0en
dc.titleParametric Control on Fractional-Order Response for Lü Chaotic Systemen
dc.typeConference Paperen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.identifier.journalJournal of Physics: Conference Seriesen
dc.conference.date2013-01-24 to 2013-01-25en
dc.conference.name2013 International Conference on Science and Engineering in Mathematics, Chemistry and Physics, ScieTech 2013en
dc.conference.locationJakarta, IDNen
dc.eprint.versionPublisher's Version/PDFen
dc.contributor.institutionSchool of Mathematical Science, Univirsiti Kebangsaan Malaysia, 43600, Malaysiaen
dc.contributor.institutionNISC Research Center, Nile University, Cairo, Egypten
dc.contributor.institutionEngineering Mathematics Department, Faculty of Engineering, Cairo University, Egypten
dc.contributor.institutionDepartment of Mathematics, University of Jordan, 11942 Amman, Jordanen
kaust.authorSalama, Khaled N.en
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