Self-excited wave processes in chains of diffusion-linked delay equations

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.
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