Control and Synchronization of a Chaotic Memristor System Based on Graphical Approach
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 cont...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Kashan
2025-03-01
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| Series: | Mathematics Interdisciplinary Research |
| Subjects: | |
| Online Access: | https://mir.kashanu.ac.ir/article_114733_1cd62dfbf251a63c81d2f587233a8f8c.pdf |
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| Summary: | 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. |
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| ISSN: | 2476-4965 |