Articles | Volume 21, issue 6
Nonlin. Processes Geophys., 21, 1085–1092, 2014

Special issue: Complex network approaches to analyzing and modeling nonlinear...

Nonlin. Processes Geophys., 21, 1085–1092, 2014

Research article 11 Nov 2014

Research article | 11 Nov 2014

Finding recurrence networks' threshold adaptively for a specific time series

D. Eroglu1,2, N. Marwan1, S. Prasad3, and J. Kurths1,2,4 D. Eroglu et al.
  • 1Potsdam Institute for Climate Impact Research, Potsdam, Germany
  • 2Department of Physics, Humboldt University of Berlin, Berlin, Germany
  • 3Institute of Earth and Environmental Science, Potsdam University, Potsdam, Germany
  • 4Institute of Complex Systems and Mathematical Biology, University of Aberdeen, Aberdeen, UK

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.