Science Journal of Circuits, Systems and Signal Processing

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Adaptive Relay Configuration Based on the Novel Hyperchaotic Three-Components Oscillator Operating at High Frequency: Global Synchronization

Received: Oct. 08, 2019    Accepted: Nov. 06, 2019    Published: Apr. 13, 2020
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Abstract

This article is investigating from one of best control technique known as periodically intermittent discrete observation control (PIDOC), the problem of global synchronization based on a relay configuration of three novel hyperchaotic oscillators of three-components (NHO) operating at high frequency. Contrary to traditional periodically intermittent control based on continuous-time state observations, PIDOC used here, chooses discrete-time state observations in work time during a control period. Our analysis has been limited to a range of parameters for which the NHO-type oscillator exhibits bursting oscillations. The global conditions of stability for non-adaptive and adaptive cases have been proven analytically. To the best of our knowledge and in the literature of the relay coupling system, no work has been carried out concerning the study of the stability of adaptive synchronization case. The Synchronization of the system is analysed in terms of its control gain by using time series. The numerical results show that there is global synchronization between the three relay coupled NHO-type oscillators for both non-adaptive and adaptive synchronizations. Moreover, PSpice based simulations of the analog electronic circuit for the non-adaptive case are in good accordance with both theoretical and numerical results.

DOI 10.11648/j.cssp.20200901.11
Published in Science Journal of Circuits, Systems and Signal Processing ( Volume 9, Issue 1, June 2020 )
Page(s) 1-15
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Bursting Oscillations, High Frequency, Periodically Intermittent Discrete Observation Control, Relay Coupling System, Global Synchronization

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Cite This Article
  • APA Style

    B. A. Mezatio, M. Tingue Motchongom, R. Kengne, T. Fozin Fonzin, A. Tchagna Kouanou, et al. (2020). Adaptive Relay Configuration Based on the Novel Hyperchaotic Three-Components Oscillator Operating at High Frequency: Global Synchronization. Science Journal of Circuits, Systems and Signal Processing, 9(1), 1-15. https://doi.org/10.11648/j.cssp.20200901.11

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    ACS Style

    B. A. Mezatio; M. Tingue Motchongom; R. Kengne; T. Fozin Fonzin; A. Tchagna Kouanou, et al. Adaptive Relay Configuration Based on the Novel Hyperchaotic Three-Components Oscillator Operating at High Frequency: Global Synchronization. Sci. J. Circuits Syst. Signal Process. 2020, 9(1), 1-15. doi: 10.11648/j.cssp.20200901.11

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    AMA Style

    B. A. Mezatio, M. Tingue Motchongom, R. Kengne, T. Fozin Fonzin, A. Tchagna Kouanou, et al. Adaptive Relay Configuration Based on the Novel Hyperchaotic Three-Components Oscillator Operating at High Frequency: Global Synchronization. Sci J Circuits Syst Signal Process. 2020;9(1):1-15. doi: 10.11648/j.cssp.20200901.11

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  • @article{10.11648/j.cssp.20200901.11,
      author = {B. A. Mezatio and M. Tingue Motchongom and R. Kengne and T. Fozin Fonzin and A. Tchagna Kouanou and R. Tchitnga and A. Fomethe},
      title = {Adaptive Relay Configuration Based on the Novel Hyperchaotic Three-Components Oscillator Operating at High Frequency: Global Synchronization},
      journal = {Science Journal of Circuits, Systems and Signal Processing},
      volume = {9},
      number = {1},
      pages = {1-15},
      doi = {10.11648/j.cssp.20200901.11},
      url = {https://doi.org/10.11648/j.cssp.20200901.11},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.cssp.20200901.11},
      abstract = {This article is investigating from one of best control technique known as periodically intermittent discrete observation control (PIDOC), the problem of global synchronization based on a relay configuration of three novel hyperchaotic oscillators of three-components (NHO) operating at high frequency. Contrary to traditional periodically intermittent control based on continuous-time state observations, PIDOC used here, chooses discrete-time state observations in work time during a control period. Our analysis has been limited to a range of parameters for which the NHO-type oscillator exhibits bursting oscillations. The global conditions of stability for non-adaptive and adaptive cases have been proven analytically. To the best of our knowledge and in the literature of the relay coupling system, no work has been carried out concerning the study of the stability of adaptive synchronization case. The Synchronization of the system is analysed in terms of its control gain by using time series. The numerical results show that there is global synchronization between the three relay coupled NHO-type oscillators for both non-adaptive and adaptive synchronizations. Moreover, PSpice based simulations of the analog electronic circuit for the non-adaptive case are in good accordance with both theoretical and numerical results.},
     year = {2020}
    }
    

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    T1  - Adaptive Relay Configuration Based on the Novel Hyperchaotic Three-Components Oscillator Operating at High Frequency: Global Synchronization
    AU  - B. A. Mezatio
    AU  - M. Tingue Motchongom
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    T2  - Science Journal of Circuits, Systems and Signal Processing
    JF  - Science Journal of Circuits, Systems and Signal Processing
    JO  - Science Journal of Circuits, Systems and Signal Processing
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    PB  - Science Publishing Group
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    UR  - https://doi.org/10.11648/j.cssp.20200901.11
    AB  - This article is investigating from one of best control technique known as periodically intermittent discrete observation control (PIDOC), the problem of global synchronization based on a relay configuration of three novel hyperchaotic oscillators of three-components (NHO) operating at high frequency. Contrary to traditional periodically intermittent control based on continuous-time state observations, PIDOC used here, chooses discrete-time state observations in work time during a control period. Our analysis has been limited to a range of parameters for which the NHO-type oscillator exhibits bursting oscillations. The global conditions of stability for non-adaptive and adaptive cases have been proven analytically. To the best of our knowledge and in the literature of the relay coupling system, no work has been carried out concerning the study of the stability of adaptive synchronization case. The Synchronization of the system is analysed in terms of its control gain by using time series. The numerical results show that there is global synchronization between the three relay coupled NHO-type oscillators for both non-adaptive and adaptive synchronizations. Moreover, PSpice based simulations of the analog electronic circuit for the non-adaptive case are in good accordance with both theoretical and numerical results.
    VL  - 9
    IS  - 1
    ER  - 

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Author Information
  • Department of Physics, Faculty of Science, University of Dschang, Dschang, Cameroon; Laboratory of Electronics and Signal Processing, Department of Physics, Faculty of Science, University of Dschang, Dschang, Cameroon

  • Higher Technical Teachers Training College, University of Bamenda, Bambili, Cameroon

  • Department of Physics, Faculty of Science, University of Dschang, Dschang, Cameroon; Laboratory of Electronics and Signal Processing, Department of Physics, Faculty of Science, University of Dschang, Dschang, Cameroon

  • Laboratory of Electronics and Signal Processing, Department of Physics, Faculty of Science, University of Dschang, Dschang, Cameroon

  • Laboratory of Electronics and Signal Processing, Department of Physics, Faculty of Science, University of Dschang, Dschang, Cameroon

  • Department of Physics, Faculty of Science, University of Dschang, Dschang, Cameroon; Laboratory of Electronics and Signal Processing, Department of Physics, Faculty of Science, University of Dschang, Dschang, Cameroon

  • Unite de Recherche de Mecanique et de Modelisation des Systemes Physique (UR2MSP), Department of Physics, Faculty of Science, University of Dschang, Dschang, Cameroon

  • Section