Spike train dynamics underlying pattern formation in integrate-and-fire oscillator networks P.C. Bressloff S. Coombes 2134/1732 https://repository.lboro.ac.uk/articles/journal_contribution/Spike_train_dynamics_underlying_pattern_formation_in_integrate-and-fire_oscillator_networks/9385856 A dynamical mechanism underlying pattern formation in a spatially extended network of integrate-and-fire oscillators with synaptic interactions is identified. It is shown how in the strong coupling regime the network undergoes a discrete Turing-Hopf bifurcation of the firing times from a synchronous state to a state with periodic or quasiperiodic variations of the interspike intervals on closed orbits. The separation of these orbits in phase space results in a spatially periodic pattern of mean firing rate across the network that is modulated by deterministic fluctuations of the instantaneous firing rate. 2006-05-12 10:15:04 untagged Mathematical Sciences not elsewhere classified