Discrete autowaves in neural systems
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 5, pp. 840-858

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A singularly perturbed scalar nonlinear differential-difference equation with two delays is considered that is a mathematical model of an isolated neuron. It is shown that a one-dimensional chain of diffusively coupled oscillators of this type exhibits the well-known buffer phenomenon. Specifically, as the number of chain links increases consistently with decreasing diffusivity, the number of coexisting stable periodic motions in the chain grows indefinitely.
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     title = {Discrete autowaves in neural systems},
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S. D. Glyzin; A. Yu. Kolesov; N. Kh. Rozov. Discrete autowaves in neural systems. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 5, pp. 840-858. http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_5_a7/