This paper studies the features of a net of pulse-coupled model neurons, ta
king into account the dynamics of dendrites and axons. The axonal pulses ar
e modelled by delta-functions. In the case of small damping of dendritic cu
rrents, the model can be treated exactly and explicitly, Because of the del
ta-functions, the phase-equations can be converted into algebraic equations
at discrete times. We first exemplify our procedure by two neurons, and th
en present the results for N neurons. We admit a general dependence of inpu
t and coupling strengths on the neuronal indices. In detail, the results ar
e
(1) exact solution of the phase-locked state;
(2) stability of phase-locked state with respect to perturbations, such as
phase jumps and random fluctuations, the correlation functions of the phase
s are calculated;
(3) phase shifts due to spontaneous opening of vesicles or due to failure o
f opening;
(4) effect of different sensory inputs on axonal pulse frequencies of coupl
ed neurons.