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arXiv · 1301.0934

Geometric detection of coupling directions by means of inter-system recurrence networks

Jan H. Feldhoff·Reik V. Donner·Jonathan F. Donges·N. Marwan·J. Kurths
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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 R\"ossler 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 $K>2$ coupled subsystems.

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Jan H. Feldhoff, Reik V. Donner, Jonathan F. Donges, N. Marwan, J. Kurths. 2013-01-05. Geometric detection of coupling directions by means of inter-system recurrence networks. https://doi.org/10.1016/j.physleta.2012.10.008

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