A CNN Approach to Brian-Like Chaos-Periodicity Transitions

Chaos-periodicity transitions are studied within the framework of a one-dimensional CNN which are qualitatively similar to some brian-like transitions described in the literature. The nonlinearity of each cell is designed such that chaotic and periodic regimes coexist at the cell level. When a coupling between cells is considered, transition waves from chaotic behavior into a periodic one are observed to propagate along the one-dimensional array. The signals measured are qualitatively similar to some EEG measurements in biology. Here we present the study of these transitions for different types of couplings and parameters.