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  4. Dual phase and dual anti-phase synchronization of fractional order chaotic systems in real and complex variables with uncertainties
 
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Dual phase and dual anti-phase synchronization of fractional order chaotic systems in real and complex variables with uncertainties

Author(s)
Leung, Andrew Yee Tak  
Author(s)
Yadav, V. K.
Kumar, R.
Das, S.
Date Issued
2019
Publisher
Elsevier
Journal
Chinese Journal of Physics
Volume
57
Start page
282
End page
308
Abstract
In the present article the nonlinear control method is used for dual phase and dual anti-phase synchronizations among fractional order chaotic systems with uncertainties. The control functions are designed to achieve synchronization with the help of nonlinear control technique. The nonlinear control method is found to be very effective and convenient to achieve dual phase and dual anti-phase synchronization with parametric uncertainties of the non-identical chaotic systems. The fractional order real and complex chaotic systems with parametric uncertainties are taken to illustrate dual phase and dual anti-phase synchronization process. Numerical simulation results show the possibility of dual phase and dual anti-phase synchronizations, which are carried out using Adams–Bashforth–Moulton method and graphical results are presented to display the effectiveness of the method. The striking feature of the article is the graphical demonstration of fast communication through signals between transmitter and receiver for the complex variable systems compared to the real variable systems.
URI
https://repository.sfu.edu.hk/handle/sfu/2175
DOI
10.1016/j.cjph.2018.12.001
SFU Affiliated Publication
No
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