scholarly journals The stability of vector renewal equations pertaining to heterogeneous chemical reaction systems

1976 ◽  
Vol 34 (1) ◽  
pp. 69-83 ◽  
Author(s):  
A. E. DeGance ◽  
L. E. Johns
Keyword(s):  
Chemical Reaction ◽  
Heterogeneous Chemical Reaction ◽  
Reaction Systems ◽  
Chemical Reaction Systems ◽  
Renewal Equations ◽  
Heterogeneous Chemical ◽  
The Stability

Calculation of Separatrices in Multistable Chemical Reaction Systems

1978 ◽  
Vol 33 (11) ◽  
pp. 1341-1345
Author(s):  
B. Denzel ◽  
F. F. Seelig
Keyword(s):  
Phase Space ◽  
Chemical Reaction ◽  
Critical Points ◽  
Direct Method ◽  
Initial Value ◽  
Stability Boundaries ◽  
Reaction Systems ◽  
Chemical Reaction Systems ◽  
Direct Approximation ◽  
The Stability

In multistable chemical reaction systems the space of variables is partitioned by separatrices into different cells which are the domains of attraction of the respective critical points. By numerically solving an initial value problem, which is based on the particular stability properties of separatrix manifolds, we achieve a direct approximation of the stability boundaries in the phase space. The method is principally applicable to nonlinear systems of any number of variables and, other than the direct method of Liapunov, also in regions of the phase space which are far from the critical points.

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