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State Observer Synchronization Used in the Three-Dimensional Duffing System

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  • Jian-Qun Han
  • Yue-Chao Ma
  • Hong Sun

Abstract

Synchronization of chaotic systems has attracted extensive concern in the past few years. In this study, we investigate a new structure of Duffing system by the variable decomposition method. Then, we analyze the state observer synchronization based on the new Duffing system. It is proved theoretically that the designed observer can keep synchronization with Duffing chaotic system in transmitter. The design is presented reasonably with the conditional Lyapunov exponents, and its effectiveness is clearly shown in simulation results.

Suggested Citation

  • Jian-Qun Han & Yue-Chao Ma & Hong Sun, 2014. "State Observer Synchronization Used in the Three-Dimensional Duffing System," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-7, April.
    • Handle: RePEc:hin:jnlmpe:986359
    DOI: 10.1155/2014/986359
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