WIAS Preprint No. 870, (2003)

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.

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