Spectral Coarse Graining and Synchronization in Oscillator Networks

David Gfeller; Paolo De Los Rios

doi:10.1103/physrevlett.100.174104

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arXiv · 0708.2055

Spectral Coarse Graining and Synchronization in Oscillator Networks

David Gfeller·Paolo De Los Rios

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Abstract

Coarse graining techniques offer a promising alternative to large-scale simulations of complex dynamical systems, as long as the coarse-grained system is truly representative of the initial one. Here, we investigate how the dynamical properties of oscillator networks are affected when some nodes are merged together to form a coarse-grained network. Moreover, we show that there exists a way of grouping nodes preserving as much as possible some crucial aspects of the network dynamics. This coarse graining approach provides a useful method to simplify complex oscillator networks, and more generally any network whose dynamics involves a Laplacian matrix.

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BibTeX RIS

David Gfeller, Paolo De Los Rios. 2008-03-13. Spectral Coarse Graining and Synchronization in Oscillator Networks. https://doi.org/10.1103/physrevlett.100.174104

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