大坝观测数据序列中的混沌现象

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本文探讨大坝观测数据中的混沌现象.文中对坝体径向位移的实测值与残差的数据序列,分别进行相空间重构,将若干固定时间延迟点上的测量作为新维处理,形成相点,按照关联维数方法求算吸引子维数.计算中对数据进行规格化处理,所得吸引子维数为31~35.不同测点上的测值与不同起始时刻的计算结果比较接近与稳定.文中还绘制了实测值与残差序列的相轨线图,它们均与白噪声序列的轨线形状有明显不同.初步表明观测数据中存在有奇异吸引子. This paper discusses the chaos in dam observation data. In this paper, we reconstruct the measured data of the radial displacement of the dam body and the residual data series, respectively, and reconstruct the phase space separately. The measurements at several fixed time delay points are treated as the new dimension, and the phase points are formed. Sub-dimension. In the calculation, the data is normalized and the dimension of the attractor is 31 ~ 35. The measured values ​​at different measuring points are close to and stable with the calculation results at different starting times. The paper also plots the phase trajectories of the observed and residual sequences, all of which are significantly different from the trajectories of white noise sequences. The preliminary results show that there are strange attractors in the observed data.
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