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The Shortest Synchronization Time with Optimal Fractional Order Value Using a Novel Chaotic Attractor Based on Secure Communication

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  • Durdu, Ali
  • Uyaroğlu, Yılmaz

Abstract

In this study, a novel three dimensional autonomous chaotic attractor was found and secure communication masking application was performed with optimal fractional order, which offers more precise and faster results than first order chaotic equations, via Pecaro Carroll synchronization algorithm. The shortest synchronization time was investigated with optimal fractional order value. In the novel secure communication synchronization application with fractional order chaotic system, there is an angle of 45° between the signals sent and received, which clearly shows that the system can be employed in secure communication.

Suggested Citation

  • Durdu, Ali & Uyaroğlu, Yılmaz, 2017. "The Shortest Synchronization Time with Optimal Fractional Order Value Using a Novel Chaotic Attractor Based on Secure Communication," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 98-106.
    • Handle: RePEc:eee:chsofr:v:104:y:2017:i:c:p:98-106
    DOI: 10.1016/j.chaos.2017.08.008
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    References listed on IDEAS

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    1. Yong Xu & Hua Wang, 2013. "Synchronization of Fractional-Order Chaotic Systems with Gaussian Fluctuation by Sliding Mode Control," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-7, November.
    2. Ke Ding & Xing Xu, 2016. "Chaotic Synchronization of Modified Discrete-Time Tinkerbell Systems," Discrete Dynamics in Nature and Society, Hindawi, vol. 2016, pages 1-7, August.
    3. Khanzadeh, Alireza & Pourgholi, Mahdi, 2016. "Robust Synchronization of Fractional-Order Chaotic Systems at a Pre-Specified Time Using Sliding Mode Controller with Time-Varying Switching Surfaces," Chaos, Solitons & Fractals, Elsevier, vol. 91(C), pages 69-77.
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    Cited by:

    1. Durdu, Ali & Uyaroğlu, Yılmaz, 2022. "Comparison of synchronization of chaotic Burke-Shaw attractor with active control and integer-order and fractional-order P-C method," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    2. Cui, Li & Luo, Wenhui & Ou, Qingli, 2021. "Analysis of basins of attraction of new coupled hidden attractor system," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    3. Chenchen Peng & Haiyi Yang & Anqing Yang & Ling Ren, 2024. "A New Observer Design for the Joint Estimation of States and Unknown Inputs for a Class of Nonlinear Fractional-Order Systems," Mathematics, MDPI, vol. 12(8), pages 1-12, April.
    4. Anguiano-Gijón, Carlos Alberto & Muñoz-Vázquez, Aldo Jonathan & Sánchez-Torres, Juan Diego & Romero-Galván, Gerardo & Martínez-Reyes, Fernando, 2019. "On predefined-time synchronisation of chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 122(C), pages 172-178.
    5. Tutueva, Aleksandra V. & Moysis, Lazaros & Rybin, Vyacheslav G. & Kopets, Ekaterina E. & Volos, Christos & Butusov, Denis N., 2022. "Fast synchronization of symmetric Hénon maps using adaptive symmetry control," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).

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