Abstract
We study a system of coupled oscillators with global inhibition and local gap junction coupling. The coupling functions are derived from a biological system in the limit of weak coupling. With global inhibition, the system evolves to a clustered state, while with local gap junctions, waves and synchrony are the only attractors. Increasing gap junction strength from zero destroys the clustered state leaving a complex pattern. Decreasing gap junction strength from a high value results in the loss of stability of waves to a Hopf bifurcation and results in periodically modulated waves. We present analytical results along with numerical simulations.
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