On a method for mathematical modeling of chemical synapses View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2013-10

AUTHORS

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

ABSTRACT

We introduce a new mathematical model of a circular neural network with unidirectional chemical bonds. The model is a singularly perturbed system of delay differential-difference equations. We study the existence and stability of relaxation periodic motions in the system. It is proved that the well-known buffer phenomenon can occur in the model. More... »

PAGES

1193-1210

References to SciGraph publications

  • 2005. An Introduction to Dynamical Systems and Neuronal Dynamics in TUTORIALS IN MATHEMATICAL BIOSCIENCES I
  • 2011-12. Relaxation self-oscillations in neuron systems: II in DIFFERENTIAL EQUATIONS
  • 2012-02. Relaxation self-oscillations in neuron systems: III in DIFFERENTIAL EQUATIONS
  • 2012-05. Discrete autowaves in neural systems in COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS
  • 1995-12. Anti-phase solutions in relaxation oscillators coupled through excitatory interactions in JOURNAL OF MATHEMATICAL BIOLOGY
  • 1993-03. Rapid synchronization through fast threshold modulation in BIOLOGICAL CYBERNETICS
  • 2010-12. A modification of Hutchinson’s equation in COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS
  • 2011-07. Relaxation self-oscillations in neuron systems: I in DIFFERENTIAL EQUATIONS
  • Journal

    TITLE

    Differential Equations

    ISSUE

    10

    VOLUME

    49

    Author Affiliations

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1134/s0012266113100017

    DOI

    http://dx.doi.org/10.1134/s0012266113100017

    DIMENSIONS

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