# Multistability, local pattern formation, and global collective firing in a small-world network of nonleaky integrate-and-fire neurons.

@article{Rothkegel2009MultistabilityLP, title={Multistability, local pattern formation, and global collective firing in a small-world network of nonleaky integrate-and-fire neurons.}, author={Alexander Rothkegel and Klaus Lehnertz}, journal={Chaos}, year={2009}, volume={19 1}, pages={ 015109 } }

We investigate numerically the collective dynamical behavior of pulse-coupled nonleaky integrate-and-fire neurons that are arranged on a two-dimensional small-world network. To ensure ongoing activity, we impose a probability for spontaneous firing for each neuron. We study network dynamics evolving from different sets of initial conditions in dependence on coupling strength and rewiring probability. Besides a homogeneous equilibrium state for low coupling strength, we observe different local…

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