部分可观测时空混沌系统的无模型预测

论文标题

部分可观测时空混沌系统的无模型预测

Construction and commissioning of the collinear laser spectroscopy system at BRIF

论文作者

Wang, S. J., Yang, X. F., Bai, S. W., Liu, Y. C., Zhang, P., Liu, Y. S., Hu, H. R., Li, H. W., Tang, B., Cui, B. Q., He, C. Y., Ma, X., Li, Q. T., Chen, J. H., Ma, K., Yang, L. S., Hu, Z. Y., Pu, W. L., Chen, Y., Guo, Y. F., Du, Z. Y., Yan, Z., Liu, F. L., Wang, H. R., Yang, G. Q., Ye, Y. L., Guo, B.

论文摘要

储层计算是预测湍流的有力工具，其简单的架构具有处理大型系统的计算效率。然而，其实现通常需要完整的状态向量测量和系统非线性知识。我们使用非线性投影函数将系统测量扩展到高维空间，然后将其输入到储层中以获得预测。我们展示了这种储层计算网络在时空混沌系统上的应用，该系统模拟了湍流的若干特征。我们表明，使用径向基函数作为非线性投影器，即使只有部分观测并且不知道控制方程，也能稳健地捕捉复杂的系统非线性。最后，我们表明，当测量稀疏、不完整且带有噪声，甚至控制方程变得不准确时，我们的网络仍然可以产生相当准确的预测，从而为实际湍流系统的无模型预测铺平了道路。

We have constructed a collinear laser spectroscopy (CLS) system installed at the Beijing Radioactive Ion-beam Facility (BRIF), aiming to investigate the nuclear properties of unstable nuclei. The first on-line commissioning experiment of this system was performed using the continuous stable ($^{39}$K) and unstable ($^{38}$K) ion beams produced by impinging a 100-MeV proton beam on a CaO target. Hyperfine structure spectra of these two isotopes are reasonably reproduced, and the extracted magnetic dipole hyperfine parameters and isotope shift agree with the literature values. The on-line experiment demonstrates the overall functioning of this CLS system, opening new opportunities for laser spectroscopy measurement of unstable isotopes at BRIF and other radioactive ion beam facilities in China.

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