Abstract
We consider the so-called bilocal neuron model, which is a special system of two nonlinear delay differential equations coupled by linear diffusion terms. The system is invariant under the interchange of phase variables. We prove that, under an appropriate choice of parameters, the system under study has a stable relaxation cycle whose components turn into each other under a certain phase shift.
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Original Russian Text © S.D. Glyzin, A.Yu. Kolesov, N.Kh. Rozov, 2018, published in Differentsial’nye Uravneniya, 2018, Vol. 54, No. 10, pp. 1313–1337.
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Glyzin, S.D., Kolesov, A.Y. & Rozov, N.K. Stable Relaxation Cycle in a Bilocal Neuron Model. Diff Equat 54, 1285–1309 (2018). https://doi.org/10.1134/S0012266118100026
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DOI: https://doi.org/10.1134/S0012266118100026