Traveling Waves in a Ring of Three Inhibitory Coupled Model Neurons

The pyloric network of the stomatogastric ganglion of the lobster generates motor patterns with specific phase-lags between single neurons. This network inspired us to investigate a simplified model consisting of three mono-directionally coupled MorrisLecar oscillators. We have systematically analyzed the high-dimensional space of the synaptic parameters and identified parameter combinations which lead to biologically plausible phase-lags that exist even in a network with identical cells in the absence of an intrinsic burster. The dependence of the phase lags on the synaptic parameters was also explored. Key words: Morris-Lecar, coupled oscillators, ring network 1 Introduction A network with three model neurons, coupled with mono-directional inhibition could, in principal, be used to control various asynchronous movement sequences by producing patterns with different phase lags. This makes its behavior interesting with respect to biological as well as artificial movement control. A rel..