Global stability of steady steady state of delay differential equations in neural network model

Speaker(s)

Marek Bodnar

Affiliation

Uniwersytet Warszawski

Date

Nov. 6, 2013, 2:15 p.m.

Room

room 5840

Seminar

Seminar of Biomathematics and Game Theory Group

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We prove that a strong attractor of a discrete map implies global stability of a corresponding system of delay differential equations. We apply this result to a delayed Hopfield's model. We prove also that every attractor one-dimentional map is a strong attractor and we present an example that this is not true in dimension higher than one.

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