Finding recurrence networks' threshold adaptively for a specific time series

• Main Authors: D. Eroglu, N. Marwan, S. Prasad, J. Kurths
• Format: Article
• Language: English
• Published: Copernicus Publications 2014-11-01
• Series: Nonlinear Processes in Geophysics
• Online Access: http://www.nonlin-processes-geophys.net/21/1085/2014/npg-21-1085-2014.pdf

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.