Quasi-Toric Differential Inclusions
Dynamical Systems
2019-10-15 v1
Abstract
Toric differential inclusions play a pivotal role in providing a rigorous interpretation of the connection between weak reversibility and the persistence of mass-action systems and polynomial dynamical systems. We introduce the notion of quasi-toric differential inclusions, which are strongly related to toric differential inclusions, but have a much simpler geometric structure. We show that every toric differential inclusion can be embedded into a quasi-toric differential inclusion and that every quasi-toric differential inclusion can be embedded into a toric differential inclusion. In particular, this implies that weakly reversible dynamical systems can be embedded into quasi-toric differential inclusions.
Cite
@article{arxiv.1910.05426,
title = {Quasi-Toric Differential Inclusions},
author = {Gheorghe Craciun and Abhishek Deshpande and Hyejin Jenny Yeon},
journal= {arXiv preprint arXiv:1910.05426},
year = {2019}
}
Comments
17 pages, 8 figures