English

Planar S-systems: Global stability and the center problem

Dynamical Systems 2022-09-14 v2 Molecular Networks

Abstract

S-systems are simple examples of power-law dynamical systems (polynomial systems with real exponents). For planar S-systems, we study global stability of the unique positive equilibrium and solve the center problem. Further, we construct a planar S-system with two limit cycles.

Keywords

Cite

@article{arxiv.1707.02104,
  title  = {Planar S-systems: Global stability and the center problem},
  author = {Balázs Boros and Josef Hofbauer and Stefan Müller and Georg Regensburger},
  journal= {arXiv preprint arXiv:1707.02104},
  year   = {2022}
}

Comments

26 pages, 5 figures

R2 v1 2026-06-22T20:40:32.077Z