Geodesic
The theory of relaxation oscillations for Hutchinson's equation
Sbornik. Mathematics, Tome 202 (2011) no. 6, pp. 829-858

Voir la notice de l'article provenant de la source Math-Net.Ru

Hutchinson's equation is a scalar equation with time delay which is well known in ecology. In this paper a complete asymptotic representation is constructed for a stable relaxation cycle of this equation, in the form of series in integer powers of a certain small parameter. The techniques of asymptotic integration developed on the way are then applied to analyse the question of attractors for a system of circularly interrelated Hutchinson equations. Bibliography: 8 titles.
Keywords: delay system, asymptotic behaviour, stability.
Mots-clés : relaxation oscillations 
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     title = {The theory of relaxation oscillations for {Hutchinson's} equation},
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A. Yu. Kolesov; N. Kh. Rozov. The theory of relaxation oscillations for Hutchinson's equation. Sbornik. Mathematics, Tome 202 (2011) no. 6, pp. 829-858. http://geodesic.mathdoc.fr/item/SM_2011_202_6_a2/