Investigation Of Nonlinearity And Chaos In Solar Flare Index Signal

In the present work daily Solar Flare Index developed at Mc-Math-Hulbert Solar Observatory during the period 1st January, 1966 to 31st December, 2008 has been taken into consideration. As study of nonlinearity in a signal is quite motivating to understand its intrinsic nature and thereby provides exciting scope to explore further knowledge of the observed phenomenon, so it is indispensable to examine the presence of nonlinearity in the solar flare index signal. Moreover, the presence of nonlinearity is regarded as a direct implication of chaos which serves to be an essential element of complexity, natural to the underlying system or phenomenon. In order to understand this nonlinearity in the present signal Delay Vector Variance (DVV) analysis has been employed here to address our goal, which reveals the presence of some form of nonlinearity in it. Further, to judge the presence of chaos in the said signal, Recurrence Plot (RP) analysis with Recurrence Quantification Analysis (RQA) has also been taken into consideration. The present study possibly enables to establish a deterministic nonlinear chaotic profile of the phenomena of rapid magnetic energy bursts observed in the solar atmosphere.