A nonlinear memductance induced intermittent and anti-phase synchronization

We introduce a model to mimic the dynamics of oscillators that are coupled by mean-field nonlinear memductance. Notably, nonlinear memductance produces dynamic nonlinearity, which causes the direction of coupling to change over time. Depending on the parameters, such a dynamic coupling drives the trajectory of oscillators to a synchronization or anti-synchronization manifold. Specifically, depending on the forcing frequency and coupling strength, we find anti-phase and intermittent synchronization. With the increase in coupling magnitude, one can observe a transition from intermittent synchronization to complete synchronization through anti-phase synchronization. The results are validated through numerical simulations. The hypothesis has a huge impact on the study of neuronal networks. Published under an exclusive license by AIP Publishing.

Automated summary

We present a model that simulates the dynamics of oscillators coupled by mean-field nonlinear memductance. The dynamic nonlinearity generated by nonlinear memductance causes the coupling direction to change over time. Depending on the parameters, this dynamic coupling leads the oscillators to synchronization or anti-synchronization. Specifically, we observe anti-phase and intermittent synchronization depending on the forcing frequency and coupling strength. By increasing the coupling magnitude, we observe a transition from intermittent synchronization to complete synchronization through anti-phase synchronization. Numerical simulations validate the results. This hypothesis has significant implications for the study of neuronal networks.