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Discrete-time neural synchronization between an Arduino microcontroller and a Compact Development System using multiscroll chaotic signals

Author

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  • Castañeda, Carlos E.
  • López-Mancilla, D.
  • Chiu, R.
  • Villafaña-Rauda, E.
  • Orozco-López, Onofre
  • Casillas-Rodríguez, F.
  • Sevilla-Escoboza, R.

Abstract

In this paper, we present the synchronization of a chaotic system using a discrete-time recurrent high order neural network. This is done by using a Genesio & Tesi oscillator circuit in discrete-time embedded into an Arduino microcontroller that provides the state space variables. A discrete-time recurrent neural network is designed to synchronize the dynamics of the chaotic oscillator. This neural network is trained using a time-varying training algorithm where it is used the Extended Kalman Filter. Two state space variables are captured in real-time in ADC inputs of a compact development system, where these signals are synchronized by the recurrent high order neural network in discrete-time. The proposed work allows synchronization of interactions associated between the neural convergence and the chaotical plant state. The obtained real-time results, and the statistical analyses on the synchronization process validate the possible application in chaos-based communications systems.

Suggested Citation

  • Castañeda, Carlos E. & López-Mancilla, D. & Chiu, R. & Villafaña-Rauda, E. & Orozco-López, Onofre & Casillas-Rodríguez, F. & Sevilla-Escoboza, R., 2019. "Discrete-time neural synchronization between an Arduino microcontroller and a Compact Development System using multiscroll chaotic signals," Chaos, Solitons & Fractals, Elsevier, vol. 119(C), pages 269-275.
    • Handle: RePEc:eee:chsofr:v:119:y:2019:i:c:p:269-275
    DOI: 10.1016/j.chaos.2018.12.030
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    References listed on IDEAS

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    1. García-Martínez, M. & Ontañón-García, L.J. & Campos-Cantón, E. & Čelikovský, S., 2015. "Hyperchaotic encryption based on multi-scroll piecewise linear systems," Applied Mathematics and Computation, Elsevier, vol. 270(C), pages 413-424.
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    Citations

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    Cited by:

    1. Yassine Bouteraa & Javad Mostafaee & Mourad Kchaou & Rabeh Abbassi & Houssem Jerbi & Saleh Mobayen, 2022. "A New Simple Chaotic System with One Nonlinear Term," Mathematics, MDPI, vol. 10(22), pages 1-17, November.
    2. Minati, Ludovico & Frasca, Mattia & Valdes-Sosa, Pedro A. & Barbot, Jean-Pierre & Letellier, Christophe, 2023. "Flatness-based real-time control of experimental analog chaotic oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    3. Garza-González, E. & Posadas-Castillo, C. & López-Mancilla, D. & Soriano-Sánchez, A.G., 2020. "Increasing synchronizability in a scale-free network via edge elimination," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 174(C), pages 233-243.
    4. García-Guerrero, E.E. & Inzunza-González, E. & López-Bonilla, O.R. & Cárdenas-Valdez, J.R. & Tlelo-Cuautle, E., 2020. "Randomness improvement of chaotic maps for image encryption in a wireless communication scheme using PIC-microcontroller via Zigbee channels," Chaos, Solitons & Fractals, Elsevier, vol. 133(C).
    5. Aguirre, J. & Almendral, J.A. & Buldú, J.M. & Criado, R. & Gutiérrez, R. & Leyva, I. & Romance, M. & Sendiña-Nadal, I., 2019. "Experimental complexity in physical, social and biological systems," Chaos, Solitons & Fractals, Elsevier, vol. 120(C), pages 200-202.
    6. Gu, Yajuan & Wang, Hu & Yu, Yongguang, 2020. "Synchronization for fractional-order discrete-time neural networks with time delays," Applied Mathematics and Computation, Elsevier, vol. 372(C).

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