论文标题
从脉动恒星光曲线提取非线性的自洽方法I.组合频率
Self-consistent method to extract non-linearities from pulsating stars light curves I. Combination frequencies
论文作者
论文摘要
组合频率不是扰动恒星结构方程的解决方案。在从给定的多周期脉动恒星的光曲线的密集功率谱中，它们可以在小型震震分析中损害模式识别，因此必须将其视为虚假频率并方便地删除。在本文中，提出了一种基于拟合频率集的方法，最能描述一般的非线性模型，例如Volterra系列。该方法允许从功率谱中提取这些频率，因此有助于改善频率分析，从而使隐藏的频率从最初被认为是噪声中出现。此外，该方法产生的频率和不确定性的频率比瑞利分散剂小几个数量级，通常在标准频率分析中作为当前误差。此外，它与所谓的O-C方法的经典计数循环方法兼容，该方法仅适用于单周期恒星。该方法通过详细研究复杂的广义转移函数来表征给定脉动星的非线性行为的可能性。
Combination frequencies are not solutions of the perturbed stellar structure equations. In dense power spectra from a light curve of a given multi-periodic pulsating star, they can compromise the mode identification in an asteroseismic analysis, hence they must be treated as spurious frequencies and conveniently removed. In this paper, a method based on fitting the set of frequencies that best describe a general non-linear model, like the Volterra series, is presented. The method allows to extract these frequencies from the power spectrum, so helping to improve the frequency analysis enabling hidden frequencies to emerge from the initially considered as noise. Moreover, the method yields frequencies with uncertainties several orders of magnitude smaller than the Rayleigh dispersion, usually taken as the present error in a standard frequency analysis. Furthermore, it is compatible with the classical counting cycles method, the so-called O-C method, which is valid only for mono-periodic stars. The method opens the possibility to characterise the non-linear behaviour of a given pulsating star by studying in detail the complex generalised transfer functions.
