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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.

MSC:
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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