BRESSLOFF, COOMBES and DE SOUZA, 1997. Dynamics of a ring of pulse-coupled oscillators: group-theoretic approach. Physical Review Letters, 79(15), pp. 2791–2794
We use group-theoretic methods to analyze phase-locking in a ring of identical integrate-and-fire oscillators with distributed delays. It is shown how certain phase-locked solutions emerge through symmetry breaking bifurcations as some characteristic delay of the system is varied. The reduction to a phase-coupled model in the weak coupling regime is discussed.