English

Stabilizing effect of delay in higher dimensions

Dynamical Systems 2022-09-02 v1

Abstract

We describe a situation where an unstable equilibrium in a 3×33 \times 3 system of linear differential equations may be stabilized by introducing a delayed response, i.e. converting to a system of delayed differential equations. This generalizes one of the cases for 2×22 \times 2 systems studied in 'Delay can stabilize: Love affairs dynamic' by N. Bielczyk et al.

Keywords

Cite

@article{arxiv.2209.00135,
  title  = {Stabilizing effect of delay in higher dimensions},
  author = {Alena Chan},
  journal= {arXiv preprint arXiv:2209.00135},
  year   = {2022}
}

Comments

10 pages, 18 figures

R2 v1 2026-06-28T00:31:37.151Z