Takens embedding theory are applicable only for time invariant systems. It is shown that embedding reconstructions can be applied to time varying systems based on an observer approach. In particular, the Lur'e system is considered. As an application example, we discuss the information retrieval in chaos-based communication systems in the absence of noise and distortion.%证实了在基于观察者途径的情况下, Takens的嵌入重构定理能扩展到时变混沌系统. Lur'e系统被特别考虑. 作为应用的实例, 讨论了在没有信道噪声和畸变的情况下, 在基于混沌的通信系统的信息信号的恢复.
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