# Graph spectral characterization of the XY model on complex networks.

@article{Expert2017GraphSC, title={Graph spectral characterization of the XY model on complex networks.}, author={Paul Expert and Sarah de Nigris and Taro Takaguchi and Renaud Lambiotte}, journal={Physical review. E}, year={2017}, volume={96 1-1}, pages={ 012312 } }

There is recent evidence that the XY spin model on complex networks can display three different macroscopic states in response to the topology of the network underpinning the interactions of the spins. In this work we present a way to characterize the macroscopic states of the XY spin model based on the spectral decomposition of time series using topological information about the underlying networks. We use three different classes of networks to generate time series of the spins for the three…

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