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Partial Synchronization in 2-Community Networks

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Delay Controlled Partial Synchronization in Complex Networks

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Abstract

Large interconnected systems built from individual nodes with complex dynamics are common in many seemingly distinct fields of natural sciences, technology, and economy. We analyze partial synchronization patterns in a network of FitzHugh-Nagumo oscillators with empirical structural connectivity measured in healthy human subjects. We report a dynamical asymmetry between the hemispheres, induced by the natural structural asymmetry. We show that the dynamical asymmetry can be enhanced by introducing the inter-hemispheric coupling strength as a control parameter for partial synchronization patterns. We specify the possible modalities for existence of unihemispheric sleep in human brain, where one hemisphere sleeps while the other remains awake.

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Correspondence to Jakub Sawicki .

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Sawicki, J. (2019). Partial Synchronization in 2-Community Networks. In: Delay Controlled Partial Synchronization in Complex Networks. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-030-34076-6_6

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