English

An integrating factor matrix method to find first integrals

Dynamical Systems 2015-05-18 v1

Abstract

In this paper we developed an integrating factor matrix method to derive conditions for the existence of first integrals. We use this novel method to obtain first integrals, along with the conditions for their existence, for two and three dimensional Lotka-Volterra systems with constant terms. The results are compared to previous results obtained by other methods.

Keywords

Cite

@article{arxiv.1003.3589,
  title  = {An integrating factor matrix method to find first integrals},
  author = {K. V. I. Saputra and G. R. W. Quispel and L. van Veen},
  journal= {arXiv preprint arXiv:1003.3589},
  year   = {2015}
}
R2 v1 2026-06-21T14:59:26.906Z