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Symmetry- and input-cluster synchronization in networks.

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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… Click to show full 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 optoelectronic oscillators.

Keywords: input cluster; cluster synchronization; synchronization networks; symmetry input; synchronization

Journal Title: Physical Review E
Year Published: 2018

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