Geodesic
A self-symmetric cycle in a system of two diffusely connected Hutchinson's equations
Sbornik. Mathematics, Tome 210 (2019) no. 2, pp. 184-233 Cet article a éte moissonné depuis la source Math-Net.Ru

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The so-called bi-local model is considered for Hutchinson's equation. This is a system of two identical nonlinear delay differential equations connected by means of linear diffusion terms. The question of the existence, asymptotic behaviour and stability of a particular periodic solution of this system, such that a certain phase shift takes the coordinates of this solution back to this solution, are investigated. Bibliography: 19 titles.
Keywords: Hutchinson's equation, bi-local model, self-symmetric cycle, asymptotic behaviour, stability. 
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S. D. Glyzin; A. Yu. Kolesov; N. Kh. Rozov. A self-symmetric cycle in a system of two diffusely connected Hutchinson's equations. Sbornik. Mathematics, Tome 210 (2019) no. 2, pp. 184-233. http://geodesic.mathdoc.fr/item/SM_2019_210_2_a1/

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