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

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    Type
    Article
    Authors
    Radwan, A.G.
    Moaddy, K.
    Salama, Khaled N. cc
    Momani, S.
    Hashim, I.
    KAUST Department
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Electrical Engineering Program
    Sensors Lab
    Date
    2013-03-13
    Online Publication Date
    2013-03-13
    Print Publication Date
    2014-01
    Permanent link to this record
    http://hdl.handle.net/10754/550902
    
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    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.
    Citation
    Control and switching synchronization of fractional order chaotic systems using active control technique 2014, 5 (1):125 Journal of Advanced Research
    Publisher
    Elsevier BV
    Journal
    Journal of Advanced Research
    DOI
    10.1016/j.jare.2013.01.003
    PubMed ID
    25685479
    PubMed Central ID
    PMC4294745
    Additional Links
    http://linkinghub.elsevier.com/retrieve/pii/S2090123213000040
    ae974a485f413a2113503eed53cd6c53
    10.1016/j.jare.2013.01.003
    Scopus Count
    Collections
    Articles; Electrical and Computer Engineering Program; Sensors Lab; Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division

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