A discrete dynamical system as a model of a neural network with generalized Hebbian synapses |
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| Affiliation: | a Institute of Mathematics, Jagiellonian University, Kraków, Poland
b Institute of Mathematics, Pedagogical University, Kraków, Poland |
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| Abstract: | We study the dynamical behavior of a discrete time dynamical system which can serve as a model of a learning process. We determine fixed points of this system and basins of attraction of attracting points. This system was studied by Fernanda Botelho and James J. Jamison in [A learning rule with generalized Hebbian synapses, J. Math. Anal. Appl. 273 (2002) 529-547] but authors used its continuous counterpart to describe basins of attraction. |
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| Keywords: | Discrete dynamical system Neural network Hebbian synapse |
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