A preliminary low-dimensional chaotic analysis of the solar cycle

Nonlinear Sciences – Chaotic Dynamics

Scientific paper

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Chaos, Solar Cycles, Sunspots, Time Series Analysis, Liapunov Functions, Stochastic Processes, Strange Attractors

Scientific paper

We study the temporal characteristics of the solar cycle, expressed by the mean monthly sunspot index, for a period of 235 years. The techniques of chaotic dynamics are used. We give preliminary results which support the hypothesis of chaotic dynamics and the existence of a low-dimensional strange attractor. In particular, we estimate the correlation dimension (about 4.5) and the largest Liapunov exponent (0.15 bits/month). We also try to compare our results with the pseudochaotic profile of a purely stochastic Brownian process.

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