宇宙中的新太阳III：多重分形特征分析
New Suns in the Cosmos III: multifractal signature analysis
摘要：
本文研究了从CoRoT航天器数据库中提取的小时时间序列的多重分形特征。我们的分析是为了突出的可能性，天体物理时间序列可以是一个特殊的一类复杂的和动态的过程，需要几个光度变化诊断，以表征其结构和拓扑特性的成员。为了实现这一目标，我们搜索的贡献，由于非线性时间相关性和较重的尾巴比高斯分布所造成的影响，使用一维多重分形信号（MFDMA）的去趋势移动平均算法。我们观察到，相关结构是多重分形的主要来源，而重尾分布在产生多重分形效应中起次要作用。我们的工作还揭示了恒星的自转周期本质上是由多重分形度标度的。通过对参考序列多重分形度的分析，揭示了多重分形度从短周期向长周期的演化过程。
英文摘要：
In present paper, we investigate the multifractality signatures in hourly time series extracted from CoRoT spacecraft database. Our analysis is intended to highlight the possibility that astrophysical time series can be members of a particular class of complex and dynamic processes which require several photometric variability diagnostics to characterize their structural and topological properties. To achieve this goal, we search for contributions due to nonlinear temporal correlation and effects caused by heavier tails than the Gaussian distribution, using a detrending moving average algorithm for one-dimensional multifractal signals (MFDMA). We observe that the correlation structure is the main source of multifractality, while heavy-tailed distribution plays a minor role in generating the multifractal effects. Our work also reveals that rotation period of stars is inherently scaled by degree of multifractality. As a result, analyzing the multifractal degree of referred series, we uncover an evolution of multifractality from shorter to larger periods.
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