Splay States in Finite Pulse-Coupled Networks of Excitable Neurons

  title={Splay States in Finite Pulse-Coupled Networks of Excitable Neurons},
  author={Mario Dipoppa and Martin Krupa and Alessandro Torcini and Boris S. Gutkin},
  journal={SIAM J. Appl. Dyn. Syst.},
The emergence and stability of splay states is studied in fully coupled finite networks of $N$ excitable quadratic integrate-and-fire neurons, connected via synapses modeled as pulses of finite amplitude and duration. For such synapses, by introducing two distinct types of synaptic events (pulse emission and termination), we were able to write down an exact event-driven map for the system and to evaluate the splay state solutions. For $M$ overlapping postsynaptic potentials, the linear… 
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