Savostianov Anton, Shapoval Alexander, Shnirman Mikhail
Gran Sasso Science Institute, viale F. Crispi 7, 67100 L'Aquila, Italy.
National Research University Higher School of Economics, Myasnitsakaya Ulitsa 20, 101000 Moscow, Russia.
Entropy (Basel). 2020 Aug 27;22(9):945. doi: 10.3390/e22090945.
We establish the similarity in two model-based reconstructions of the coupling between the polar magnetic fields of the Sun represented by the solar faculae time series. The reconstructions are inferred from the pair of the coupled oscillators modelled with the Van der Pol and Kuramoto equations. They are associated with the substantial simplification of solar dynamo models and, respectively, a simple ad hoc model reproducing the phenomenon of synchronization. While the polar fields are synchronized, both of the reconstruction procedures restore couplings, which attain moderate values and follow each other rather accurately as the functions of time. We also estimate the evolution of the phase difference between the polar fields and claim that they tend to move apart more quickly than approach each other.
我们在基于两种模型的重建中建立了相似性，这两种重建是关于由太阳光斑时间序列表示的太阳极向磁场之间的耦合。这些重建是从用范德波尔方程和Kuramoto方程建模的一对耦合振子推断出来的。它们分别与太阳发电机模型的大幅简化以及一个再现同步现象的简单特设模型相关联。当极向场同步时，两种重建过程都恢复了耦合，耦合达到适度的值，并作为时间的函数相当准确地相互跟随。我们还估计了极向场之间相位差的演变，并声称它们相互远离的速度往往比相互靠近的速度更快。
