A self-symmetric cycle in a system of two diffusely connected Hutchinson’s equationsстатья
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Аннотация: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.