arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1004.4639astro-ph.SRnlin.CD
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太阳活动中的非线性和混沌共振

Nonlinear and chaotic resonances in solar activity

A. Bershadskii

摘要:

结果表明,1749-2009年太阳黑子数的小波回归去趋势波动具有较强的周期性,周期约为3.7年。小波回归方法从大约11年的时间段的数据去趋势。因此,三分之一次谐波共振可以作为11年太阳周期的背景。它还表明,小波回归去趋势波动谱的宽带部分表现出指数衰减,连同积极的最大李雅普诺夫指数,是混沌的标志。利用复时分析方法,从理论上分析了光谱宽带部分的指数衰减率与卡林顿太阳自转周期的关系。简要讨论了次谐波共振的驱动周期(3.7年)与活动经度翻转现象的关系,即太阳黑子活动的主要部分平均每3.7年改变一次经度。

英文摘要:

It is shown that, the wavelet regression detrended fluctuations of the monthly sunspot number for 1749-2009 years exhibit strong periodicity with a period approximately equal to 3.7 years. The wavelet regression method detrends the data from the approximately 11-years period. Therefore, it is suggested that the one-third subharmonic resonance can be considered as a background for the 11-years solar cycle. It is also shown that the broad-band part of the wavelet regression detrended fluctuations spectrum exhibits an exponential decay that, together with the positive largest Lyapunov exponent, are the hallmarks of chaos. Using a complex-time analytic approach the rate of the exponential decay of the broad-band part of the spectrum has been theoretically related to the Carrington solar rotation period. Relation of the driving period of the subharmonic resonance (3.7-years) to the active longitude flip-flop phenomenon, in which the dominant part of the sunspot activity changes the longitude every 3.7 years on average, has been briefly discussed.

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