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   control‎ ‎and‎ ‎synchronization‎ ‎of‎ a‎ ‎chaotic memristor system based on graphical approach  
   
نویسنده pabasteh marzieh ,naderi bashir
منبع mathematics interdisciplinary research - 2025 - دوره : 10 - شماره : 1 - صفحه:71 -94
چکیده    ‎in this article‎, ‎we analyze a four-dimensional chaotic system‎, ‎focusing on bifurcation and the lyapunov exponent as key characteristics under new parameter settings‎. ‎our main goal is to control the system using a graphical algorithm based on contraction method in dynamical systems‎. ‎the controller designed using this method is simpler than most controllers for chaotic systems‎. ‎since chaotic systems are sensitive to initial conditions‎, ‎their synchronization and control are essential challenges‎. ‎the graphic algorithm is used for both controlling and synchronizing the chaotic memristor system‎. ‎also‎, ‎we utilize the synchronization results for secure communication‎, ‎employing master and slave systems as encryption and decryption keys‎. ‎the effectiveness of the proposed method is demonstrated through numerical simulations‎.
کلیدواژه contraction theory‎، ‎chaos‎، ‎secure communication‎، ‎graphical approach‎، ‎synchronization
آدرس ‎payame noor university, ‎department of mathematics, iran, ‎payame noor university, ‎department of mathematics, iran
پست الکترونیکی b_naderi@pnu.ac.ir
 
     
   
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