English

About periodic solutions of a planar system modelling neural activity

Dynamical Systems 2007-05-23 v1 Quantitative Methods

Abstract

We derived explicit symbolic expressions for the first, second, and third Lyapunov coefficients of the complex focus of a planar system modelling activity of a neural network. The analysis of these expressions allowed us to obtain new results about the number and location of limit cycles in the model.

Keywords

Cite

@article{arxiv.math/0111004,
  title  = {About periodic solutions of a planar system modelling neural activity},
  author = {S. Treskov and E. Volokitin},
  journal= {arXiv preprint arXiv:math/0111004},
  year   = {2007}
}

Comments

10 pages, 2 figures

R2 v1 2026-07-22T16:41:19.416Z