A CNN approach to brain-like chaos-periodicity transitions

Chaos-periodicity transitions are studied within the framework of a one-dim ensional CNN which are qualitatively similar to some brain-like transitions described in the literature. The nonlinearity of each cell is designed suc h that chaotic and periodic regimes coexist at the cell level. When a coupl ing between cells is considered, transition waves from chaotic behavior int o 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 type s of couplings and parameters.