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Hilbert-Huang Transform Analysis of Long-term Solar Magnetic Activity

机译：长期太阳磁活动的希尔伯特-黄变换分析

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Astronomical time series analysis is one of the hottest and most important problems, and becomes the suitable way to deal with the underlying dynamical behavior of the considered nonlinear systems. The quasi-periodic analysis of solar magnetic activity has been carried out by various authors during the past fifty years. In this work, the novel Hilbert-Huang transform approach is applied to investigate the yearly numbers of polar faculae in the time interval from 1705 to 1999. The detected periodicities can be allocated to three components: the first one is the short-term variations with periods smaller than 11 years, the second one is the mid- term variations with classical periods from 11 years to 50 years, and the last one is the long-term variations with periods larger than 50 years. The analysis results improve our knowledge on the quasi-periodic variations of solar magnetic activity and could be provided valuable constraints for solar dynamo theory. Furthermore, our analysis results could be useful for understanding the long-term variations of solar magnetic activity, providing crucial information to describe and forecast solar magnetic activity indicators.
机译：天文时间序列分析是最热门和最重要的问题之一，并且已成为处理所考虑的非线性系统潜在动力学行为的合适方法。在过去的五十年中，许多作者对太阳磁活动进行了准周期分析。在这项工作中，新颖的Hilbert-Huang变换方法用于研究1705年至1999年时间间隔内极小分子的年数。检测到的周期性可以分配给三个分量：第一个是短期变化，随时间变化。小于11年的时期，第二个是古典时期从11年到50年的中期变化，最后一个是大于50年的长期变化。分析结果提高了我们对太阳磁活动的准周期变化的认识，可以为太阳发电机理论提供有价值的约束。此外，我们的分析结果可能有助于理解太阳磁活动的长期变化，提供描述和预测太阳磁活动指标的重要信息。

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