On the relation between ω-limit set and boundaries of mass-action chemical reaction networks
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Date
2023-03Type
- Journal Article
Abstract
ω-limit set can be used to understand the long term behavior of a dynamical system. In this paper, we use the Lyapunov Function PDEs method, developed in our previous work, to study the relation between ω-limit points and boundaries for chemical reaction networks equipped with mass-action kinetics. Using the solution of the PDEs, some new checkable criteria are proposed to diagnose non ω-limit points of the network system. These criteria are successfully applied to verify that non-semilocking boundary points and some semilocking boundary points are not ω-limit points. Further, we derive the ω-limit theorem that precludes the limit cycle of some biochemical network systems. The validity of the results are demonstrated through some abstract and practical examples of chemical reaction networks. Show more
Publication status
publishedExternal links
Journal / series
AutomaticaVolume
Pages / Article No.
Publisher
ElsevierSubject
Chemical reaction network; Mass-action system; Boundaries; ω-limit set; Lyapunov function PDEsMore
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