A Positive Real Eigenvalue Condition for the Determination of Unstable Steady States in Chemical Reaction Networks
Author:
Chao An-Chong1,
Li Hsing-Ya1,
Chuang Guo-Syong1,
Ho Pang-Yen1
Affiliation:
1. Department of Chemical Engineering, National United University, Miao-Li 360, Taiwan R.O.C.
Abstract
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.
Publisher
Walter de Gruyter GmbH
Subject
Physical and Theoretical Chemistry,General Physics and Astronomy,Mathematical Physics