Chemical Reaction Systems with a Homoclinic Bifurcation: an Inverse Problem
Dynamical Systems
2015-10-27 v1 Molecular Networks
Abstract
An inverse problem framework for constructing reaction systems with prescribed properties is presented. Kinetic transformations are defined and analysed as a part of the framework, allowing an arbitrary polynomial ordinary differential equation to be mapped to the one that can be represented as a reaction network. The framework is used for construction of specific two- and three-dimensional bistable reaction systems undergoing a supercritical homoclinic bifurcation, and the topology of their phase spaces is discussed.
Keywords
Cite
@article{arxiv.1510.07205,
title = {Chemical Reaction Systems with a Homoclinic Bifurcation: an Inverse Problem},
author = {Tomislav Plesa and Tomas Vejchodsky and Radek Erban},
journal= {arXiv preprint arXiv:1510.07205},
year = {2015}
}
Comments
Submitted to Mathematical Models and Methods in Applied Sciences