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I will discuss dynamical patterns in non-locally coupled networks arising from the presence of time delays. The motivation comes from recent results in chimera states, which were originally observed in simple ring configurations under symmetric coupling conditions. I will present a systematic way of searching for such nontrivial patterns in delayed networks using a combination of symmetry analysis and bifurcation theory, and will give several examples of novel dynamics and their stability analysis. Particular emphasis will be devoted to patterns combining synchrony and amplitude death. |
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