Исследование стохастической модели нейронной динамики: магистерская диссертация

Resultado de pesquisa: Master's Thesis

Resumo

This paper considers a discrete neural model pioneered by Rulkov N.F. This model clearly reflects the fast-slow dynamics of the neuron. In this paper, we study the stability of equilibrium points and limit cycles of Rulkov model to random perturbations. In the first part, we study equilibria and cycles of deterministic one-dimensional model, investigate stability and carry out the bifurcation analysis. In the second part, we analyze the behavior of the attractors under the influence of random perturbations. In the third part, the bifurcations and phase portraits of extended two-dimensional model are studied, and stability analysis is carried out.
Título traduzido da contribuiçãoAnalysis of stochastic model of neuron dynamics: Master's thesis
Idioma originalRussian
Supervisores/Consultores
  • Башкирцева, Ирина Адольфовна, Supervisor
Estado da publicaçãoPublished - 2015

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