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中文摘要：
本文，将符号动力学推广到耦合映像格子中，以Logistic映射下耦合映像格子为研究对象，研究控制参数对符号向量序列动力学特性的影响．通过研究耦合映像格子逆函数，给出耦合映像格子的遍历条件．进一步，将给出系统初始向量，禁止字以及控制参数的符号向量序列描述方法，并最终给出基于符号向量动力学的耦合映像格子控制参数估计方法．实验结果表明，根据本文算法可以有效建立符号序列和耦合映像格子控制参数之间的对应关系，能够更好地刻画了实际模型的物理过程．
英文摘要：
Symbolic dynamics, which partitions the infinite number of finite length trajectories into a finite number of trajectory sets, allows a simplified and ＂coarse-grained＂ description of the dynamics of a system with a limited number of symbols. In this paper, we further develop the symbolic vector dynamical estimation method in coupled map lattice （CML）. We take the CML of Logistic map as an example, to show that the control parameters affect the dynamical characters of symbolic vector sequence. We study the ergodic property of CML by using the inverse function of CML. We give the symbolic vector dynamical description of the initial values, the forbidden words and the control parameters for studying pattern formation in CML. We also give a coupling coefficient estimation approach based on the ergodic property.
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Estimating initial conditions in coupled map lattices from noisy time series using symbolic vector d
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