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arXiv · 1804.01462

Symmetry- and Input-Cluster Synchronization in Networks

Abu Bakar Siddique·Louis Pecora·Joe Hart·Francesco Sorrentino
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Abstract

We study cluster synchronization in networks and show that the stability of all possible cluster synchronization patterns depends on a small set of Lyapunov exponents. Our approach can be applied to clusters corresponding to both orbital partitions of the network nodes (symmetry-cluster synchronization) and equitable partitions of the network nodes (input-cluster synchronization.) Our results are verified experimentally in networks of coupled opto-electronic oscillators.

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Abu Bakar Siddique, Louis Pecora, Joe Hart, Francesco Sorrentino. 2018-03-30. Symmetry- and Input-Cluster Synchronization in Networks. https://doi.org/10.1103/physreve.97.042217

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