Geometric detection of coupling directions by means of inter-system recurrence networks
Data Analysis, Statistics and Probability
2013-01-08 v1 Chaotic Dynamics
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 coupled subsystems.
Keywords
Cite
@article{arxiv.1301.0934,
title = {Geometric detection of coupling directions by means of inter-system recurrence networks},
author = {Jan H. Feldhoff and Reik V. Donner and Jonathan F. Donges and N. Marwan and J. Kurths},
journal= {arXiv preprint arXiv:1301.0934},
year = {2013}
}
Comments
13 pages, 10 figures, 2 tables