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

SOXS mechanical integration and verification in Italy

论文作者

Aliverti, M., Battaini, F., Radhakrishnan, K., Genoni, M., Pariani, G., Oggioni, L., Hershko, O., Colapietro, M., D'Orsi, S., Brucalassi, A ., Pignata, G., Kuncarayakti, H., Campana, S ., Claudi, R., Schipani, P., Achrén, J ., Duranm, J. A. Araiza, Arcavi, I., Baruffolo, A., Ami, S. Ben, Bruch, R ., Capasso, G., Cappellaro, E., Cosentino, R., D'Alessio, F., D'Avanzo, P., Della Valle, M ., De Pascale, M ., Di Benedetto, R., Yam, A . Gal, Hernandez, M., Kotilainen, J., Landoni, M., Causi, G . Li, Mattila, S., Munari, M., Rappaport, M., Redaelli, K. E. M. A., Ricci, D., Riva, M., Rubin, A., Salasnich, B ., Smartt, S., Sanchez, R. Zanmar, Scuderi, S., Stritzinger, M ., Ventura, E., Vitali, F., Young, D.

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。

SOXS (SOn of X-Shooter) is a medium resolution (~4500) wide-band (0.35 - 2.0 μm) spectrograph which passed the Final Design Review in 2018. The instrument is in the final integration phase and it is planned to be installed at the NTT in La Silla by next year. It is mainly composed of five different optomechanical subsystems (Common Path, NIR spectrograph, UV-VIS spectrograph, Camera, and Calibration) and other mechanical subsystems (Interface flange, Platform, cable corotator, and cooling system). A brief overview of the optomechanical subsystems is presented here as more details can be found in the specific proceedings while a more comprehensive discussion is dedicated to the other mechanical subsystems and the tools needed for the integration of the instrument. Moreover, the results obtained during the acceptance of the various mechanical elements are presented together with the experiments performed to validate the functionality of the subsystems. Finally, the mechanical integration procedure is shown here, along with all the modifications applied to correct the typical problems happening in this phase.

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