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Dong-Uk Hwang (NIMS) Pulse coupled oscillators(PCO) represent ubiquitous model for a number of physical and biological systems. Phase response curves(PRC) provide a general mathematical framework to analyze patterns of synchrony generated with these models. A general theoretical approach to account for the nonlinear contributions from higher-order PRCs in the generation of synchronous patterns by the PCOs is still lacking. Here, by considering a prototypical example of a PCO network, i.e., two synaptically coupled neurons, we present a general theory that extends beyond the weak-coupling approximation, to account for higher-order PRC corrections in the derivation of an approximate discrete map, the stable fixed point of which can predict the domain of 1:1 phase locked synchronous stages generated by the PCO network. |