Stable Relaxation Cycle in a Bilocal Neuron Model View Full Text


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Article Info

DATE

2018-10

AUTHORS

S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov

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. More... »

PAGES

1285-1309

References to SciGraph publications

  • 2013-04. Periodic traveling-wave-type solutions in circular chains of unidirectionally coupled equations in THEORETICAL AND MATHEMATICAL PHYSICS
  • 2013-10. On a method for mathematical modeling of chemical synapses in DIFFERENTIAL EQUATIONS
  • 2010-12. A modification of Hutchinson’s equation in COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1134/s0012266118100026

    DOI

    http://dx.doi.org/10.1134/s0012266118100026

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1109921079


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