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A novel method to analyze the dynamics of the BSB (Brain State in a Box) model is presented. The method is able to determine if a proposed interconnection matrix generated with the CMM rule can achieve the desired behavior, and what are the parameters that should be changed in case of obtaining an incorrect final rest point. By means of an application of the techniques used in control system theory...
The evolution of two-dimensional neural network models with rank one connecting matrices and saturated linear transfer functions is dynamically equivalent to that of piecewise linear maps on an interval. It is shown that their iterative behavior ranges from being highly predictable, where almost every orbit accumulates to an attracting fixed point, to the existence of chaotic regions with cycles of...
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