Numerical recipes in C: the art of scientific computing
Numerical recipes in C: the art of scientific computing
Synchronization of pulse-coupled biological oscillators
SIAM Journal on Applied Mathematics
Synchrony in excitatory neural networks
Neural Computation
Weakly connected neural networks
Weakly connected neural networks
Spiking Neuron Models: An Introduction
Spiking Neuron Models: An Introduction
Type i membranes, phase resetting curves, and synchrony
Neural Computation
IEEE Transactions on Neural Networks
Chaotic pattern transitions in pulse neural networks
Neural Networks
Rewiring-induced chaos in pulse-coupled neural networks
Neural Computation
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Synchronized firings in the networks of class 1 excitable neurons with excitatory and inhibitory connections are investigated, and their dependences on the forms of interactions are analyzed. As the forms of interactions, we treat the double exponential coupling and the interactions derived from it: pulse coupling, exponential coupling, and alpha coupling. It is found that the bifurcation structure of the networks depends mainly on the decay time of the synaptic interaction and the effect of the rise time is smaller than that of the decay time.