Synchronization in a Nonidentical Fractional Order of a Proposed Modified System
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Abstract
In this paper, the fractional order of a new chaotic system was studied and the minimum effective dimension for which the system remains chaotic was calculated. We have presented the chaos synchronization of two identical and nonidentical fractional orders of the new system by using active control. Furthermore, the Laplace transform and the Niemann-Trouvaille fractional integral operator were used for synchronizing two system.
Description
Khalili Golmankhaneh, Alireza/0000-0003-1529-7807; , Alireza/0000-0002-3490-7976; Khalili Golmankhaneh, Alireza/0000-0002-5008-0163
Keywords
Synchronization, Fractional-Order Systems, Chaos Synchronize, Active Control, fractional-order systems, active control, Synchronization of solutions to ordinary differential equations, chaos synchronize, Fractional ordinary differential equations, synchronization
Fields of Science
0103 physical sciences, 01 natural sciences
Citation
Golmankhaneh, Alireza K.; Arefi, Rouhiyeh; Baleanu, Dumitru, "Synchronization in a nonidentical fractional order of a proposed modified system" Journal Of Vibration And Control, Vol.21, No.6, pp.1154-1161, (2015).
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OpenCitations Citation Count
43
Volume
21
Issue
6
Start Page
1154
End Page
1161
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CrossRef : 43
Scopus : 50
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46
checked on May 29, 2026
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2
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