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Loss of phase-locking in non-weakly coupled inhib. networks of type-I neurons (Oh and Matveev 2009)
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...
Here we examine the loss of
synchrony caused by an increase in inhibitory coupling
in networks of type-I Morris–Lecar model oscillators,
which is characterized by a period-doubling cascade
and leads to mode-locked states with alternation in the
firing order of the two cells, as reported recently by
Maran and Canavier (J Comput Nerosci, 2008) for a
network of Wang-Buzsáki model neurons.
Although
alternating-order firing has been previously reported as
a near-synchronous state, we show that the stable phase
difference between the spikes of the two Morris–Lecar
cells can constitute as much as 70% of the unperturbed
oscillation period.
Further, we examine the generality
of this phenomenon for a class of type-I oscillators that
are close to their excitation thresholds, and provide
an intuitive geometric description of such “leap-frog”
dynamics.
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tom.morse@yale.edu
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