Pulse-coupled resonate-and-fire models

Details Pulse-coupled resonate-and-fire models Pulse-coupled resonate-and-fire models

2004-04-19

arxiv.org/abs/q-bio/0404021v1

Biology

Quantitative Biology

Neurons and Cognition

15 pages, 8 figures

Scientific paper

10.1103/PhysRevE.70.021914

We analyze two pulse-coupled resonate-and-fire neurons. Numerical simulation reveals that an anti-phase state is an attractor of this model. We can analytically explain the stability of anti-phase states by means of a return map of firing times, which we propose in this paper. The resultant stability condition turns out to be quite simple. The phase diagram based on our theory shows that there are two types of anti-phase states. One of these cannot be seen in coupled integrate-and-fire models and is peculiar to resonate-and-fire models. The results of our theory coincide with those of numerical simulations.

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