太阳暗条和太阳黑子长期行为的多重分形特性研究

发布时间：2018-02-21 12:26

本文关键词： 太阳暗条太阳黑子多重分形　出处：《重庆大学》2014年硕士论文　论文类型：学位论文

【摘要】：多重分形方法已应用于许多太阳物理研究中，是非线性特性研究的一个重要手段。前人的研究发现，由各种太阳指数表征的太阳长期活动具有复杂的非线性特征，本文通过对太阳暗条和太阳黑子的长期活动的多重分形特征的研究从分形角度描述和分析了太阳暗条和太阳黑子的多重分形特性和关联。本文通过计算太阳暗条指数和太阳黑子数时间序列的多重分形谱来描述和分析太阳暗条和太阳黑子长期活动的多重分形特性。通过计算f α多重分形谱方法，分析了全日面、低纬度和高纬度太阳暗条指数和同时间段的太阳黑子数的多重分形特性，发现了太阳暗条和太阳黑子的长期行为具有明显的多重分形特点。太阳暗条指数比太阳黑子数具有更复杂的多重分形结构，，高纬度太阳暗条指数比低纬度太阳暗条指数的多重分形行为更复杂。太阳黑子数呈现出对称性很好的奇异强度结构分布，而太阳暗条指数的多重分形结构由低奇异强度主导。通过代表长时间尺度的11年周期活动的平滑数据和代表短时间尺度的偶然事件的去趋势数据的f α多重分形谱的计算，发现了平滑数据具有很低的多重分形度和比较均匀规则的多重分形结构，近似于单分形结构，而去趋势数据表现出比原数据更复杂、更不规则的多重分形结构，而以高奇异强度结构为主导。其中，太阳暗条指数的去趋势数据比太阳黑子数更复杂，高纬度太阳暗条指数比低纬度太阳暗条指数更复杂。结合前人的研究，本文作者认为平滑数据主要代表空间大尺度太阳活动，而去趋势数据主要代表空间小尺度太阳活动，而且它们对于太阳活动表现出的多重分形特性起着不同的作用。
[Abstract]:Multifractal method has been applied to many solar physics studies and is an important means of nonlinear research. Previous studies have found that the long term solar activity represented by various solar indices has complex nonlinear characteristics. In this paper, the multifractal characteristics and correlation of solar dark strips and sunspots are described and analyzed from the fractal point of view by studying the multifractal characteristics of the long-term activities of solar dark strips and sunspots. In this paper, the multifractal characteristics of solar dark strip and sunspot long-term activity are described and analyzed by calculating the multifractal spectrum of solar dark strip exponent and sunspot number time series, and the whole solar surface is analyzed by calculating the f 伪 multifractal spectrum method. Multifractal characteristics of solar dark strip exponents at low and high latitudes and sunspot numbers at the same time, It is found that the long-term behavior of solar dark strip and sunspot has obvious multifractal characteristics. The solar dark strip index has a more complex multifractal structure than the sunspot number. The multifractal behavior of solar dark strip exponent in high latitude is more complex than that in low latitude solar dark strip exponent. The multifractal structure of solar dark strip exponent is dominated by low singularity intensity. The multifractal spectrum is calculated by means of smooth data representing 11-year periodic activity of long time scale and f 伪 multifractal spectrum representing accidental events of short time scale. It is found that the smooth data has a low multifractal degree and a uniform multifractal structure, which is similar to a single fractal structure, while the trend data shows a more complex and irregular multifractal structure than the original data. Among them, the detrend data of solar dark strip index is more complex than the sunspot number, and the solar dark strip index at high latitude is more complex than the solar dark strip index at low latitude. In this paper, the author thinks that the smooth data mainly represent the spatial large-scale solar activity, while the detrend data mainly represent the spatial small-scale solar activity, and they play different roles in the multifractal characteristics of the solar activity.
【学位授予单位】：重庆大学
【学位级别】：硕士
【学位授予年份】：2014
【分类号】：P182

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