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Chaos. 2011 Jun;21(2):025104. doi: 10.1063/1.3597647.

Reconstructing phase dynamics of oscillator networks.

Author information

1
Institut für Pädagogik, Christian-Albrechts-Universität zu Kiel, Olshausenstr. 75, 24118 Kiel, Germany.

Abstract

We generalize our recent approach to the reconstruction of phase dynamics of coupled oscillators from data [B. Kralemann et al., Phys. Rev. E 77, 066205 (2008)] to cover the case of small networks of coupled periodic units. Starting from a multivariate time series, we first reconstruct genuine phases and then obtain the coupling functions in terms of these phases. Partial norms of these coupling functions quantify directed coupling between oscillators. We illustrate the method by different network motifs for three coupled oscillators and for random networks of five and nine units. We also discuss nonlinear effects in coupling.

PMID:
21721782
DOI:
10.1063/1.3597647

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