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Phys Rev Lett. 2017 Aug 25;119(8):084101. doi: 10.1103/PhysRevLett.119.084101. Epub 2017 Aug 24.

Stable Chimeras and Independently Synchronizable Clusters.

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Department of Physics and Astronomy, Northwestern University, Evanston, Illinois 60208, USA.
Department of Physics, Chonbuk National University, Jeonju 561-756, Korea.
Northwestern Institute on Complex Systems, Northwestern University, Evanston, Illinois 60208, USA.


Cluster synchronization is a phenomenon in which a network self-organizes into a pattern of synchronized sets. It has been shown that diverse patterns of stable cluster synchronization can be captured by symmetries of the network. Here, we establish a theoretical basis to divide an arbitrary pattern of symmetry clusters into independently synchronizable cluster sets, in which the synchronization stability of the individual clusters in each set is decoupled from that in all the other sets. Using this framework, we suggest a new approach to find permanently stable chimera states by capturing two or more symmetry clusters-at least one stable and one unstable-that compose the entire fully symmetric network.

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