English

On the Lyapunov function for complex-balanced mass-action systems

Dynamical Systems 2014-05-01 v3 Molecular Networks

Abstract

We present a new proof, using the log-sum inequality, that the pseudo-Helmholtz free energy function is a Lyapunov function for complex-balanced mass-action systems. This proof is shorter and simpler than previous proofs.

Cite

@article{arxiv.1312.3043,
  title  = {On the Lyapunov function for complex-balanced mass-action systems},
  author = {Manoj Gopalkrishnan},
  journal= {arXiv preprint arXiv:1312.3043},
  year   = {2014}
}

Comments

v3: minor expositional improvements; v2: 4 pages, no figures. Corrected a mistake in the argument following Lemma 2.1; v1: 4 pages, no figures

R2 v1 2026-06-22T02:25:10.272Z