Abstract
A singularly perturbed system of nonlinear delay differential equations that models the diffusion interaction of two neurons is considered. We study the existence and stability of relaxation periodic motions in this system.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Kashchenko, S.A. and Maiorov, V.V., Modeli volnovoi pamyati (Models of Wave Memory), Moscow, 2009.
Glyzin, S.D., Kolesov, A.Yu., and Rozov, N.Kh., Relaxation Self-Oscillations in Neuron Systems. I, Differ. Uravn., 2011, vol. 47, no. 7, pp. 919–932.
Author information
Authors and Affiliations
Additional information
Original Russian Text © S.D. Glyzin, A.Yu. Kolesov, N.Kh. Rozov, 2011, published in Differentsial’nye Uravneniya, 2011, Vol. 47, No. 12, pp. 1675–1692.
Rights and permissions
About this article
Cite this article
Glyzin, S.D., Kolesov, A.Y. & Rozov, N.K. Relaxation self-oscillations in neuron systems: II. Diff Equat 47, 1697–1713 (2011). https://doi.org/10.1134/S0012266111120019
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0012266111120019