Control and switching synchronization of fractional order chaotic systems using active control technique

Handle URI:
http://hdl.handle.net/10754/550902
Title:
Control and switching synchronization of fractional order chaotic systems using active control technique
Authors:
Radwan, A.G.; Moaddy, K.; Salama, Khaled N. ( 0000-0001-7742-1282 ) ; Momani, S.; Hashim, I.
Abstract:
This paper discusses the continuous effect of the fractional order parameter of the Lü system where the system response starts stable, passing by chaotic behavior then reaching periodic response as the fractional-order increases. In addition, this paper presents the concept of synchronization of different fractional order chaotic systems using active control technique. Four different synchronization cases are introduced based on the switching parameters. Also, the static and dynamic synchronizations can be obtained when the switching parameters are functions of time. The nonstandard finite difference method is used for the numerical solution of the fractional order master and slave systems. Many numeric simulations are presented to validate the concept for different fractional order parameters.
KAUST Department:
Electrical Engineering Program
Citation:
Control and switching synchronization of fractional order chaotic systems using active control technique 2014, 5 (1):125 Journal of Advanced Research
Publisher:
Elsevier
Journal:
Journal of Advanced Research
Issue Date:
13-Mar-2013
DOI:
10.1016/j.jare.2013.01.003
PubMed ID:
25685479
PubMed Central ID:
PMC4294745
Type:
Article
ISSN:
20901232
Additional Links:
http://linkinghub.elsevier.com/retrieve/pii/S2090123213000040
Appears in Collections:
Articles; Electrical Engineering Program

Full metadata record

DC FieldValue Language
dc.contributor.authorRadwan, A.G.en
dc.contributor.authorMoaddy, K.en
dc.contributor.authorSalama, Khaled N.en
dc.contributor.authorMomani, S.en
dc.contributor.authorHashim, I.en
dc.date.accessioned2015-04-29T13:07:02Zen
dc.date.available2015-04-29T13:07:02Zen
dc.date.issued2013-03-13en
dc.identifier.citationControl and switching synchronization of fractional order chaotic systems using active control technique 2014, 5 (1):125 Journal of Advanced Researchen
dc.identifier.issn20901232en
dc.identifier.pmid25685479en
dc.identifier.doi10.1016/j.jare.2013.01.003en
dc.identifier.urihttp://hdl.handle.net/10754/550902en
dc.description.abstractThis paper discusses the continuous effect of the fractional order parameter of the Lü system where the system response starts stable, passing by chaotic behavior then reaching periodic response as the fractional-order increases. In addition, this paper presents the concept of synchronization of different fractional order chaotic systems using active control technique. Four different synchronization cases are introduced based on the switching parameters. Also, the static and dynamic synchronizations can be obtained when the switching parameters are functions of time. The nonstandard finite difference method is used for the numerical solution of the fractional order master and slave systems. Many numeric simulations are presented to validate the concept for different fractional order parameters.en
dc.publisherElsevieren
dc.relation.urlhttp://linkinghub.elsevier.com/retrieve/pii/S2090123213000040en
dc.rightsArchived with thanks to Journal of Advanced Research. Under a Creative Commons license http://creativecommons.org/licenses/by-nc-nd/3.0/en
dc.subjectControlen
dc.subjectSwitching controlen
dc.subjectFractional order synchronizationen
dc.subjectChaotic systemsen
dc.subjectNon-standard finite difference schemesen
dc.subjectFractional calculusen
dc.titleControl and switching synchronization of fractional order chaotic systems using active control techniqueen
dc.typeArticleen
dc.contributor.departmentElectrical Engineering Programen
dc.identifier.journalJournal of Advanced Researchen
dc.identifier.pmcidPMC4294745en
dc.eprint.versionPublisher's Version/PDFen
dc.contributor.institutionEngineering Mathematics, Faculty of Engineering, Cairo University, Egypten
dc.contributor.institutionSchool of Mathematical Sciences, Universiti Kebangsaan Malaysia, Selangor, Malaysiaen
dc.contributor.institutionDepartment of Mathematics, University of Jordan, 11942 Amman, Jordanen
kaust.authorSalama, Khaled N.en
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