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Zbl 1160.92300
Agranovich, G.; Litsyn, E.; Slavova, A.
Impulsive control of a hysteresis cellular neural network model. (English)
[J] Nonlinear Anal., Hybrid Syst. 3, No. 1, 65-73 (2009). ISSN 1751-570X

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 2000:: *92B20 General theory of neural networks
93D15 Stabilization of systems by feedback
35K57 Reaction-diffusion equations
37N25 Dynamical systems in biology
37D45 Strange attractors, chaotic dynamics

Keywords: cellular neural networks; hysteresis; edge of chaos; impulsive feedback control

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Zentralblatt MATH Berlin [Germany]