Analysis of Sunspot Time Series (1749-2014) by Means of 0-1 Test for Chaos Detection

We present here an implementation of the novel test called binary 0-1 test which is a chaos detection method and applied to the sunspot time series. This method seems to represent a useful improvement for the non-stationary time series chaotic characteristic analysis and computationally low cost. It is concluded that the monthly mean relative sunspot time series from January 1749 to December 2014 is inherently chaotic based on the outputs of the test. Additionally, a more detailed characterization of the sunspot time series is carried out on Lyapunov spectrum basis.