Author:

Keywords:

nonlinear, non-linear, system theory, neural networks, CNN, cellular neural networks, chaos, complex systems, SISTA, Science & Technology, Physical Sciences, Mathematics, Interdisciplinary Applications, Multidisciplinary Sciences, Mathematics, Science & Technology - Other Topics, CHUA CIRCUIT, UNIVERSAL CIRCUIT, GENERATING CHAOS, NEURAL NETWORKS, DYNAMICS, PROPAGATION, ATTRACTORS, PARADIGM, FAMILY, MODEL, 0102 Applied Mathematics, 0103 Numerical and Computational Mathematics, 0913 Mechanical Engineering, Fluids & Plasmas, 4901 Applied mathematics, 4903 Numerical and computational mathematics

Abstract:

Chaos-periodicity transitions are studied within the framework of a one-dimensional CNN which are qualitatively similar to some brain-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.