Geometric detection of coupling directions by means of inter-system recurrence networks
J. H. Feldhoff, R. V. Donner, J. F. Donges, N. Marwan, J. Kurths
We introduce a geometric method for identifying the couplingdirection between two dynamical systems based on a bivariate extension of recurrencenetwork analysis. Global characteristics of the resulting inter-systemrecurrencenetworks 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 K>2 coupled subsystems.