# Phase dynamics of coupled oscillators reconstructed from data.

@article{Kralemann2008PhaseDO, title={Phase dynamics of coupled oscillators reconstructed from data.}, author={Bj{\"o}rn Kralemann and Laura Cimponeriu and Michael Rosenblum and Arkady Pikovsky and Ralf Mrowka}, journal={Physical review. E, Statistical, nonlinear, and soft matter physics}, year={2008}, volume={77 6 Pt 2}, pages={ 066205 } }

We systematically develop a technique for reconstructing the phase dynamics equations for coupled oscillators from data. For autonomous oscillators and for two interacting oscillators we demonstrate how phase estimates obtained from general scalar observables can be transformed to genuine phases. This allows us to obtain an invariant description of the phase dynamics in terms of the genuine, observable-independent phases. We discuss the importance of this transformation for characterization of…

## 177 Citations

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