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Shunting Inhibitory Cellular Neural Networks with Compartmental Unpredictable Coefficients and Inputs

Author

Listed:
  • Marat Akhmet

    (Department of Mathematics, Middle East Technical University, 06800 Ankara, Turkey)

  • Madina Tleubergenova

    (Department of Mathematics, Aktobe Regional University, Aktobe 030000, Kazakhstan
    Institute of Information and Computational Technologies, Almaty 050010, Kazakhstan)

  • Akylbek Zhamanshin

    (Department of Mathematics, Middle East Technical University, 06800 Ankara, Turkey)

Abstract

Shunting inhibitory cellular neural networks with compartmental periodic unpredictable coefficients and inputs is the focus of this research. A new algorithm is suggested, to enlarge the set of known unpredictable functions by applying diagonalization in arguments of functions of several variables. Sufficient conditions for the existence and uniqueness of exponentially stable unpredictable and Poisson stable outputs are obtained. To attain theoretical results, the included intervals method and the contraction mapping principle are used. Appropriate examples with numerical simulations that support the theoretical results are provided. It is shown how dynamics of the neural network depend on a new numerical characteristic, the degree of periodicity.

Suggested Citation

  • Marat Akhmet & Madina Tleubergenova & Akylbek Zhamanshin, 2023. "Shunting Inhibitory Cellular Neural Networks with Compartmental Unpredictable Coefficients and Inputs," Mathematics, MDPI, vol. 11(6), pages 1-18, March.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:6:p:1367-:d:1094643
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    References listed on IDEAS

    as
    1. Akhmet, Marat & Yeşil, Cihan & Başkan, Kağan, 2023. "Synchronization of chaos in semiconductor gas discharge model with local mean energy approximation," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
    2. Yongkun Li & Lei Wang & Yu Fei, 2014. "Periodic Solutions for Shunting Inhibitory Cellular Neural Networks of Neutral Type with Time-Varying Delays in the Leakage Term on Time Scales," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-16, February.
    3. Kaimeng Zhang & Chi Tim Ng & Myung Hwan Na, 2020. "Real time prediction of irregular periodic time series data," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 39(3), pages 501-511, April.
    4. Yongkun Li & Xiaofang Meng, 2018. "Almost periodic solutions for quaternion-valued shunting inhibitory cellular neural networks of neutral type with time delays in the leakage term," International Journal of Systems Science, Taylor & Francis Journals, vol. 49(11), pages 2490-2505, August.
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