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Application and Modeling of a Novel 4D Memristive Chaotic System for Communication Systems

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Abstract

In this paper, a new four-dimensional (4D) chaotic system which contains an active flux-controlled memristor characterized with a smooth continuous cubic nonlinearity is introduced. The objective is to obtain a 4D chaotic system which contains quadratic terms by using the memristor model which is designed as a new cubic emulator. A new chaotic circuit equation is obtained by using this emulator. The chaotic behavior of the system is observed both theoretically and graphically. The fundamental dynamics of the chaotic system are examined by using equilibrium points, phase portraits, Lyapunov exponents and bifurcation diagrams. The proportional–integral–derivative (PID) control design obtained using optimization algorithms is presented for memristor-based chaotic system. Firefly algorithm and genetic algorithm are used in PID control design for obtaining optimal PID controller gains that provides optimization between master and slave circuits. To verify system performance, this proposed PID-based chaotic circuit is used to communicate communication systems. Experimental results of this system are obtained and presented in real time.

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Acknowledgements

A significant part of this paper includes Doctorate Thesis data of M. Emin SAHIN. This study was supported by Inonu University Scientific Research Projects Office as numbered FBA-2018-1582.

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Authors and Affiliations

  1. Electrical and Electronics Engineering Department, Bozok University, 60900, Yozgat, Turkey

    Muhammet Emin Sahin

  2. Electronics and Communications Engineering Department, Yildiz Technical University, 34220, Istanbul, Turkey

    Zehra Gulru Cam Taskiran

  3. Electrical and Electronics Engineering Department, Firat University, 23200, Elazig, Turkey

    Hasan Guler

  4. Electrical and Electronics Engineering Department, Inonu University, 44280, Malatya, Turkey

    Serdar Ethem Hamamci

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  1. Muhammet Emin Sahin
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  2. Zehra Gulru Cam Taskiran
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Correspondence to Muhammet Emin Sahin.

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Sahin, M.E., Cam Taskiran, Z.G., Guler, H. et al. Application and Modeling of a Novel 4D Memristive Chaotic System for Communication Systems. Circuits Syst Signal Process 39, 3320–3349 (2020). https://doi.org/10.1007/s00034-019-01332-6

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