Abstract
Synchrony is a phenomenon present in many complex systems of coupled oscillators. It is often important to cluster those systems into subpopulations of oscillators, and characterise the interactions therein. This article derives the clustering information, based on an eigenvalue decomposition of the complex synchronisation matrix. A phase sensitive post-rotation is proposed, to separate classes of oscillators with similar frequencies, but with no physical interaction.
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Schleimer, JH., Vigário, R. (2007). Clustering Limit Cycle Oscillators by Spectral Analysis of the Synchronisation Matrix with an Additional Phase Sensitive Rotation. In: de Sá, J.M., Alexandre, L.A., Duch, W., Mandic, D. (eds) Artificial Neural Networks – ICANN 2007. ICANN 2007. Lecture Notes in Computer Science, vol 4668. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74690-4_96
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DOI: https://doi.org/10.1007/978-3-540-74690-4_96
Publisher Name: Springer, Berlin, Heidelberg
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