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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:

92B20 Neural networks for/in biological studies, artificial life and related topics
93D15 Stabilization of systems by feedback
35K57 Reaction-diffusion equations
37N25 Dynamical systems in biology
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
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