Articles | Volume 21, issue 6
https://doi.org/10.5194/npg-21-1085-2014
https://doi.org/10.5194/npg-21-1085-2014
Research article
 | 
11 Nov 2014
Research article |  | 11 Nov 2014

Finding recurrence networks' threshold adaptively for a specific time series

D. Eroglu, N. Marwan, S. Prasad, and J. Kurths

Abstract. Recurrence-plot-based recurrence networks are an approach used to analyze time series using a complex networks theory. In both approaches – recurrence plots and recurrence networks –, a threshold to identify recurrent states is required. The selection of the threshold is important in order to avoid bias of the recurrence network results. In this paper, we propose a novel method to choose a recurrence threshold adaptively. We show a comparison between the constant threshold and adaptive threshold cases to study period–chaos and even period–period transitions in the dynamics of a prototypical model system. This novel method is then used to identify climate transitions from a lake sediment record.