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arXiv · 1510.07205

Chemical Reaction Systems with a Homoclinic Bifurcation: an Inverse Problem

Tomislav Plesa·Tomas Vejchodsky·Radek Erban
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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.

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Tomislav Plesa, Tomas Vejchodsky, Radek Erban. 2015-10-25. Chemical Reaction Systems with a Homoclinic Bifurcation: an Inverse Problem. https://arxiv.org/abs/1510.07205

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