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Applied Mathematics & Information Sciences
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 
 
 

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Volumes > Volume 19 > No. 4

 
   

Interlayer Synchronization in Multiplex Networks of Coupled Discrete Duffing Oscillators and Application to Cryptography

PP: 831-842
doi:10.18576/amis/190409
Author(s)
Ahamat Mahamat Hassane, Kalsouabe Zoukalne, Yaya Dagal Dari, Paul Woafo,
Abstract
The synchronization of discrete simple and extended Duffing oscillators in three-layer network is investigated in this paper. Discrete simple and extended one-dimensional Duffing oscillators are characterized to determine the control parameters inducing chaotic behaviors. The effects of the fractional derivative on the bifurcation diagrams of these discrete oscillators are also analyzed. In addition, the coupling domain of interlayer forces leading to synchronization in the three-layer network is determined numerically. Finally, chaos synchronization in three-layer network of discrete simple and extended Duffing oscillators is used for chaotic message cryptography.

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