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Rough heteroclinic curves in neural networks

I. S. Klykov1, O. V. Pochinka2

AnnotationThe result is a proof of the existence of rough heteroclinic curves in the system of differential equations of Lotka-Volterra model, which was proposed to model the cognitive and emotional functions of the brain in papers \cite{Rabinovich1}, \cite{Rabinovich2}.
Keywordsneural networks, heteroclinic channels, the system of Lotka-Volterra.

1Student of theory function chair of Nizhny Novgorod State University after N.I.Lobachevsky; igor.kl@mail.ru

2Docent of theory function chair of Nizhny Novgorod State University after N.I. Lobachevsky; olga-pochinka@yandex.ru

Citation: I. S. Klykov, O. V. Pochinka, "[Rough heteroclinic curves in neural networks]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,14:4 (2012) 77–83 (In Russian)