Finding recurrence networks’ threshold adaptively for a specific time series

D Eroglu, N. Marwan, S Prasad, Jurgen Kurths

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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.
Original languageEnglish
Pages (from-to)1085-1092
Number of pages8
JournalNonlinear Processes in Geophysics
Volume21
Issue number6
DOIs
Publication statusPublished - 11 Nov 2014

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Circuit theory
Complex networks
Lakes
Time series
Sediments
time series
thresholds
plots
lakes
climate
lacustrine deposit
sediments
method

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Finding recurrence networks’ threshold adaptively for a specific time series. / Eroglu, D; Marwan, N.; Prasad, S; Kurths, Jurgen.

In: Nonlinear Processes in Geophysics, Vol. 21, No. 6, 11.11.2014, p. 1085-1092.

Research output: Contribution to journalArticle

Eroglu, D ; Marwan, N. ; Prasad, S ; Kurths, Jurgen. / Finding recurrence networks’ threshold adaptively for a specific time series. In: Nonlinear Processes in Geophysics. 2014 ; Vol. 21, No. 6. pp. 1085-1092.
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