A new class of integrable Lotka-Volterra systems
Chaotic Dynamics
2019-07-09 v2 Exactly Solvable and Integrable Systems
Abstract
A parameter-dependent class of Hamiltonian (generalized) Lotka-Volterra systems is considered. We prove that this class contains Liouville integrable as well as superintegrable cases according to particular choices of the parameters. We determine sufficient conditions which result in integrable behavior, while we numerically explore the complementary cases, where these analytically derived conditions are not satisfied.
Keywords
Cite
@article{arxiv.1903.02836,
title = {A new class of integrable Lotka-Volterra systems},
author = {H. Christodoulidi and A. N. W. Hone and T. E. Kouloukas},
journal= {arXiv preprint arXiv:1903.02836},
year = {2019}
}
Comments
17 pages, 7 figures