Synchronizing modified van der Pol–Duffing oscillators with offset terms using observer design: application to secure communications
Synchronizing modified van der Pol–Duffing oscillators with offset terms using observer design: application to secure communications
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DOI：
10.1088/0031-8949/75/5/008
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发表时间：
2007-05
期刊：
影响因子：
2.9
通讯作者：
G. J. Fodjouong;H. Fotsin;P. Woafo
中科院分区：
文献类型：
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作者：
G. J. Fodjouong;H. Fotsin;P. Woafo
研究了带偏移项的改进van der Pol-Duffing （MVDPD）振荡器的自适应同步问题。从系统动力学的研究中，我们得到系统在弱偏移参数值处呈现混沌行为。采用roth - hurwitz准则研究了稳态的渐近稳定性。采用自适应观测器设计方法实现了两个具有偏移量的MVDPD振荡器的同步。通过数值仿真验证了该方法的有效性。此外，作为一种应用，该方案还可用于安全通信。仿真结果验证了该方案在通信中的成功应用。
This study addresses the adaptive synchronization of the modified van der Pol–Duffing (MVDPD) oscillator with offset terms. From our investigations of the system dynamics, we obtain that the system presents a chaotic behaviour at weak values of the offset parameters. Routh–Hurwitz criteria are used to study the asymptotic stability of the steady states. An adaptive observer design method is applied to achieve synchronization of two identical MVDPD oscillators with offset. Numerical simulations are given to validate the proposed synchronization approach. Moreover, as an application, the proposed scheme is applied to secure communication. Also, simulation results verify the proposed scheme's success in the communication application.