We investigate a minimal network model consisting of a 2D linear (non-oscillatory) resonator and a 1D linear cell, mutually inhibited with piecewise-linear graded synapses. We demonstrate that this network can produce oscillations in certain parameter regimes and the corresponding limit gradually transition from regular oscillations (of non-relaxation type) to relaxation oscillations as the levels of mutual inhibition increase.
|Original language||English (US)|
|Title of host publication||Trends in Mathematics|
|Publisher||Springer International Publishing|
|Number of pages||5|
|State||Published - 2019|
|Name||Trends in Mathematics|
All Science Journal Classification (ASJC) codes