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Impulsive control of a hysteresis cellular neural network model. (English) Zbl 1160.92300
Summary: A receptor-based cellular nonlinear network (CNN) model with hysteresis is considered. Dynamics and stability of the CNN model are studied from the point of view of local activity theory. The edge of chaos domain of the parameter space is found for the model. Numerical simulations and discussions about the pattern formation in such models are presented. Impulsive feedback control is applied in order to stabilize the system.
MSC:
92B20General theory of neural networks (mathematical biology)
93D15Stabilization of systems by feedback
35K57Reaction-diffusion equations
37N25Dynamical systems in biology
37D45Strange attractors, chaotic dynamics