部分可观测时空混沌系统的无模型预测

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部分可观测时空混沌系统的无模型预测

Progress on the SOXS transients chaser for the ESO-NTT

论文作者

Schipani, P., Campana, S., Claudi, R., Aliverti, M., Baruffolo, A., Ben-Ami, S., Capasso, G., Cosentino, R., D'Alessio, F., D'Avanzo, P., Hershko, O., Kuncarayakti, H., Landoni, M., Munari, M., Pignata, G., Radhakrishnan, K., Rubin, A., Scuderi, S., Vitali, F., Young, D., Achrén, J., Araiza-Durán, J. A., Arcavi, I., Battaini, F., Brucalassi, A., Bruch, R., Cappellaro, E., Colapietro, M., Della Valle, M., Di Benedetto, R., D'Orsi, S., Gal-Yam, A., Genoni, M., Díaz, M. Hernandez, Kotilainen, J., Causi, G. Li, Lessio, L., Marty, L., Mattila, S., Rappaport, M., Ricci, D., Riva, M., Salasnich, B., Savarese, S., Smartt, S., Sanchez, R. Zanmar, Stritzinger, M., Umbriaco, G., Ventura, H. Pérez, Pasquini, L., Schöller, M., Kaüfl, H. -U., Accardo, M., Mehrgan, L., Pompei, E., Saviane, I.

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 single object spectrograph offering a simultaneous spectral coverage from U- to H-band, built by an international consortium for the 3.58-m ESO New Technology Telescope at the La Silla Observatory. It is designed to observe all kind of transients and variable sources discovered by different surveys with a highly flexible schedule maintained by the consortium, based on the Target of Opportunity concept. SOXS is going to be a fundamental spectroscopic partner for any kind of imaging survey, becoming one of the premier transient follow-up instruments in the Southern hemisphere. This paper gives an updated status of the project, when the instrument is in the advanced phase of integration and testing in Europe, prior to the activities in Chile.

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