Global behavior and asymptotic reduction of a chemical kinetics system with continua of equilibria
- Schneider, Klaus R.
- Kalachev, Leonid V.
2010 Mathematics Subject Classification
- 34D05 34E15 34C60 92C45
- chemical dynamics system, model reduction, invariant manifold, singular perturbations, boundary function method
We consider a model chemical kinetics system describing the dynamics of species concentrations taking part in a consecutive-competitive reaction in a continuously stirred tank reactor. Corresponding dynamical system has a continua of equilibria. The solution of the system tends to a particular equilibrium depending on the initial conditions. Global behavior of the system and its reductions via invariant manifold theory and the boundary function methods are studied.