Geodesic
Self-excited wave processes in chains of diffusion-linked delay equations
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 67 (2012) no. 2, pp. 297-343

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A new mathematical object is introduced, a scalar non-linear difference-differential equation with time delay which is a certain modification of the Hutchinson equation well-known in ecology. It is shown that the buffering phenomenon occurs in a one-dimensional chain of diffusion-linked equations of this type. Namely, as the number of links grows in a way compatible with a decrease of the diffusion coefficient, the number of co-existing stable periodic solutions of the system increases without limit. Bibliography: 15 titles.
Keywords: modified Hutchinson equation, self-excited wave processes, relaxation cycle, asymptotic behaviour, stability. 
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     title = {Self-excited wave processes in chains of diffusion-linked delay equations},
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A. Yu. Kolesov; N. Kh. Rozov. Self-excited wave processes in chains of diffusion-linked delay equations. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 67 (2012) no. 2, pp. 297-343. http://geodesic.mathdoc.fr/item/RM_2012_67_2_a3/