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Spike width and frequency alter stability of phase-locking in electrically coupled neurons. (English) Zbl 1267.92021
Summary: The stability of phase-locked states of electrically coupled type-1 phase response curve neurons is studied using piecewise linear formulations for their voltage profile and phase response curves. We find that at low frequency and/or small spike width, synchrony is stable, and antisynchrony unstable. At high frequency and/or large spike width, these phase-locked states switch their stability. Increasing the ratio of spike width to spike height causes the antisynchronous state to transition into a stable synchronous state. We compute the interaction function and the boundaries of stability of both these phase-locked states, and present analytical expressions for them. We also study the effect of phase response curve skewness on the boundaries of synchrony and antisynchrony.

92C20 Neural biology
92C05 Biophysics
92B25 Biological rhythms and synchronization
92B20 Neural networks for/in biological studies, artificial life and related topics
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