It is known that coupling in a population can lower the variability of the
entire network making the collective activity more regular. In addition, we
find that coupled nonlinear noisy oscillators can regularize the spike
times of the individual which can have significant implications in cellular
networks when a small fraction play a prominent role. Surprisingly, this
effect is robust to different kinds of coupling. With a reduced model of
two coupled noisy oscillators and assuming weak forcing, we derive
asymptotic formulas for the variance of the spike times that accurately
explain these results. We also consider a network of recurrently coupled
noisy oscillators. The behavior can vary depending on the phase-resetting
curve (PRC) and type of coupling. The PDEs describing the system are not
amenable to standard linear stability analysis. This is overcome by a
method utilizing asymptotic theory to obtain analytic descriptions of the
system.
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Last modified: April 11 2016 - 18:14:43