Chaos suppression in brain network motifs

Jean Bragard

University of Navarra, Pamplona, Spain

We have studied the phenomenon of chaos suppression [1] in small network found in cortical brain networks. Chaos suppression can be seen as a "weak" form of synchronization in a network of chaotic units. This is due to the special symmetry associated with the strength of the coupling between the nodes. The strength coupling for which the chaos suppression occurs is much smaller than the full synchronization threshold for a given network. Starting from a set of motifs extracted from brain cortical networks [2], we have determined the likelihood of chaos suppression in these specific assembly of nodes. We also have assessed the robustness of this chaos suppression phenomenon to the addition of additive noise. Acknowledgements: Financial support from MEC under project FIS2008-06335-C02-02. References: [1] J. Bragard, G. Vidal, H. Mancini, C. Mendoza, S. Boccaletti, "Chaos suppression through asymmetric coupling", Chaos 17, 043107/1-8, (2007). [2] Olaf Sporns, Rolf Kotter, "Motifs in Brain Networks". PLoS Biol 2(11): e369, (2004).

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