Abstract
We discuss a novel class of cluster states in globally coupled neuronal oscillators. It is well known that steady cluster states such as perfect synchrony and multi-cluster states arise in globally coupled oscillators. However, little has been discussed on unsteady cluster states which often arise in populations of neuronal oscillators. We show three types of unsteady cluster states, i.e. a pair of clusters involving slow switching, three clusters involving slow switching, and a broken single cluster. These states result from saddle connections between different cluster states, and typically arise near a bifurcation point where perfect synchrony loses its stability.
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