ADMISSIBLE PERTURBATIONS OF THE THREE-DIMENSIONAL HINDMARSH – ROSE NEURON MODEL

Eduard Musafirov

doi:10.11948/20210098

2023 Volume 13 Issue 4

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Eduard Musafirov. ADMISSIBLE PERTURBATIONS OF THE THREE-DIMENSIONAL HINDMARSH – ROSE NEURON MODEL[J]. Journal of Applied Analysis & Computation, 2023, 13(4): 1668-1678. doi: 10.11948/20210098

Citation:

Eduard Musafirov. ADMISSIBLE PERTURBATIONS OF THE THREE-DIMENSIONAL HINDMARSH – ROSE NEURON MODEL[J]. Journal of Applied Analysis & Computation, 2023, 13(4): 1668-1678. doi: 10.11948/20210098

ADMISSIBLE PERTURBATIONS OF THE THREE-DIMENSIONAL HINDMARSH – ROSE NEURON MODEL

Eduard Musafirov^1, ,

1.
Department of Mechanics and Building Structures, Yanka Kupala State University of Grodno, Ozheshko Street 22, 230023 Grodno, Belarus

Corresponding author: Email address: musafirov@bk.ru (E. Musafirov)

Abstract

Abstract

For the autonomous Hindmarsh – Rose system the set of admissibly perturbed nonautonomous systems have been obtained. Reflecting functions of the Hindmarsh – Rose system and admissibly perturbed system are coinciding. This allows to investigate the admissibly perturbed systems using outcomes of researches of the well-known Hindmarsh – Rose system and the theory of reflecting function. The results are illustrated by numerical examples.
- Reflecting function /
- admissible perturbation /
- bifurcation diagram /
- periodic attractor /
- strange attractor
MSC: 34C23, 34C25, 34C60, 34D10

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References

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