A Positive Real Eigenvalue Condition for the Determination of Unstable Steady States in Chemical Reaction Networks

Autor:	An-Chong Chao, Guo-Syong Chuang, Pang-Yen Ho, Hsing-Ya Li
Rok vydání:	2008
Předmět:	Steady state (electronics) Reaction rate constant Oscillation Chemistry Mathematical analysis Analytical chemistry General Physics and Astronomy Physical and Theoretical Chemistry Chemical reaction Mathematical Physics Isothermal process Eigenvalues and eigenvectors
Zdroj:	Zeitschrift für Naturforschung A. 63:778-790
ISSN:	1865-7109 0932-0784
DOI:	10.1515/zna-2008-1205
Popis:	The interesting dynamical behaviours exhibiting in chemical reaction systems, such as multiple steady states and undamped oscillations, often result from unstable steady states. A positive real eigenvalue condition is proposed which gives a necessary and sufficient condition for the determination of an unstable steady state having a positive real eigenvalue in general isothermal reaction networks. Formulas are developed to construct an unstable steady state and a set of positive rate constants. The applications are illustrated by three examples. Two give rise to oscillations and one admits multiple steady states.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::d234585d86d6894b5b58520789fd447d https://doi.org/10.1515/zna-2008-1205 Zobrazit plný text záznamu