Analysis of the Principal Components of the Chaotic Solar Cycle

Physics

Scientific paper

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2162 Solar Cycle Variations (7536), 4420 Chaos (7805), 7536 Solar Activity Cycle (2162), 7544 Stellar Interiors And Dynamo Theory

Scientific paper

As evidenced by both the Wolf's number R and the sunspot butterfly map, the solar cycle displays a nearly cyclic character superimposed to a certain degree of chaos. Recently, the chaotic and complex evolution of the solar cycle has been widely investigated by different approaches. Here, we present a preliminary study on the chaotic nature of the solar cycle, as monitored by sunspot area butterfly diagram; approaching the problem by means of the NOC analysis the properties of the PCs are studied. Although, the main 11-year cycle can be described by only 2 modes, a full description of the chaotic nature of solar cycle requires up to 28 modes. The Lyapunov exponents of the first 28 PCs are evaluated showing the existence of two different chaotic regimes. A comparison with a discrete and stochastic version of Lotka-Volterra model is also presented.

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