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JOURNALS // Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva // Archive

Zhurnal SVMO, 2012, Volume 14, Number 4, Pages 77–83 (Mi svmo354)

In Middle Volga Mathematical Society

Rough heteroclinic curves in neural networks

I. S. Klykov, O. V. Pochinka

N. I. Lobachevski State University of Nizhni Novgorod

Abstract: The 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 [5], [6].

Keywords: neural networks, heteroclinic channels, the system of Lotka-Volterra.

UDC: 517.9



© Steklov Math. Inst. of RAS, 2024