English

The center problem for the Lotka reactions with generalized mass-action kinetics

Dynamical Systems 2022-09-14 v1 Molecular Networks

Abstract

Chemical reaction networks with generalized mass-action kinetics lead to power-law dynamical systems. As a simple example, we consider the Lotka reactions and the resulting planar ODE. We characterize the parameters (positive coefficients and real exponents) for which the unique positive equilibrium is a center.

Keywords

Cite

@article{arxiv.1702.00707,
  title  = {The center problem for the Lotka reactions with generalized mass-action kinetics},
  author = {Balázs Boros and Josef Hofbauer and Georg Regensburger and Stefan Müller},
  journal= {arXiv preprint arXiv:1702.00707},
  year   = {2022}
}