DECIPHERING HOMOCLINIC BIFURCATION IN CHEMICAL REACTION SYSTEMS: AN INVERSE PUZZLE

Volume 20 No 9 (2022)

YALAM SRAVANI, DHARMARAJULA NAGARAN

DOI: 10.48047/nq.2022.20.9.nq44897

Abstract

A methodology is provided to construct reaction systems with desired properties using inverse problems. Kinetic transformations are defined and analysed inside the framework, allowing any polynomial ordinary differential equation to be mapped to one that might be represented as a reaction network. The framework is used for the construction of several bistable reaction systems that undergo a supercritical homoclinic bifurcation in two and three dimensions, and the topology of the phase spaces is investigated.

Keywords

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