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原文連結
論文資訊
- 類型:已發表論文
- 日期:2010
摘要
We use symbolic dynamics to study discrete-time dynamical systems with multiple time delays. We exploit the concept of avoiding sets, which arise from specific non-generating partitions of the phase space and restrict the occurrence of certain symbol sequences related to the characteristics of the dynamics. In particular, we show that the resulting forbidden sequences are closely related to the time delays in the system. We present two applications to coupled map lattices, namely (1) detecting 同步化 and (2) determining unknown values of the 傳播 delays in 網絡s with possibly directed and weighted connections and measurement noise. The method is applicable to multidimensional as well as set-valued maps, and to 網絡s with time- varying delays and connection structure.
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