Geometric detection of coupling directions by means of inter-system recurrence networks
arXiv:1301.0934 · doi:10.1016/j.physleta.2012.10.008
Abstract
We introduce a geometric method for identifying the coupling direction between two dynamical systems based on a bivariate extension of recurrence network analysis. Global characteristics of the resulting inter-system recurrence networks provide a correct discrimination for weakly coupled Rössler oscillators not yet displaying generalised synchronisation. Investigating two real-world palaeoclimate time series representing the variability of the Asian monsoon over the last 10,000 years, we observe indications for a considerable influence of the Indian summer monsoon on climate in Eastern China rather than vice versa. The proposed approach can be directly extended to studying coupled subsystems.
arXiv comment13 pages, 10 figures, 2 tables
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