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Adaptive synchronization of two chaotic systems consisting of modified Van der Pol–Duffing and Chua oscillators

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  • Fotsin, Hilaire
  • Bowong, Samuel
  • Daafouz, Jamal

Abstract

In this paper, chaos synchronization between two chaotic systems consisting of modified Van der Pol–Duffing (MVDPD) and Chua oscillators is studied. Such a problem is related to chaos synchronization of different systems. An adaptive feedback synchronization with two controllers is proposed to ensure global chaos synchronization of the modified Van der Pol–Duffing and Chua circuit oscillators. Numerical simulations show the effectiveness of the proposed control method. Moreover, as an application, the proposed scheme is then applied to secure communication whose process consists of a robust filter that recovers the information signal from the scalar transmitted signal. Also, simulation results verify the proposed scheme’s success in the communication application.

Suggested Citation

  • Fotsin, Hilaire & Bowong, Samuel & Daafouz, Jamal, 2005. "Adaptive synchronization of two chaotic systems consisting of modified Van der Pol–Duffing and Chua oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 26(1), pages 215-229.
    • Handle: RePEc:eee:chsofr:v:26:y:2005:i:1:p:215-229
    DOI: 10.1016/j.chaos.2004.12.029
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    1. Fotsin, H.B. & Woafo, P., 2005. "Adaptive synchronization of a modified and uncertain chaotic Van der Pol-Duffing oscillator based on parameter identification," Chaos, Solitons & Fractals, Elsevier, vol. 24(5), pages 1363-1371.
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    Cited by:

    1. Fotsin, Hilaire & Bowong, Samuel, 2006. "Adaptive control and synchronization of chaotic systems consisting of Van der Pol oscillators coupled to linear oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 27(3), pages 822-835.
    2. Zheng, G. & Boutat, D. & Floquet, T. & Barbot, J.P., 2009. "Secure communication based on multi-input multi-output chaotic system with large message amplitude," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1510-1517.
    3. Wang, Jiang & Zhang, Ting & Che, Yanqiu, 2007. "Chaos control and synchronization of two neurons exposed to ELF external electric field," Chaos, Solitons & Fractals, Elsevier, vol. 34(3), pages 839-850.
    4. Zhou, Jin & Cheng, Xuhua & Xiang, Lan & Zhang, Yecui, 2007. "Impulsive control and synchronization of chaotic systems consisting of Van der Pol oscillators coupled to linear oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 33(2), pages 607-616.
    5. Wang, Jiang & Che, Yan-Qiu & Zhou, Si-Si & Deng, Bin, 2009. "Unidirectional synchronization of Hodgkin–Huxley neurons exposed to ELF electric field," Chaos, Solitons & Fractals, Elsevier, vol. 39(3), pages 1335-1345.
    6. Salarieh, Hassan & Shahrokhi, Mohammad, 2008. "Adaptive synchronization of two different chaotic systems with time varying unknown parameters," Chaos, Solitons & Fractals, Elsevier, vol. 37(1), pages 125-136.
    7. Tang, Fang, 2008. "An adaptive synchronization strategy based on active control for demodulating message hidden in chaotic signals," Chaos, Solitons & Fractals, Elsevier, vol. 37(4), pages 1090-1096.
    8. Maganti, Ganesh B. & Singh, Sahjendra N., 2006. "Output feedback form of Chua’s circuit and modular adaptive control of chaos using single measurement," Chaos, Solitons & Fractals, Elsevier, vol. 28(3), pages 724-738.
    9. Yu, Wenwu & Cao, Jinde, 2007. "Adaptive synchronization and lag synchronization of uncertain dynamical system with time delay based on parameter identification," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 375(2), pages 467-482.

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