Global behavior and asymptotic reduction of a chemical kinetics system with continua of equilibria

L. V. Kalachev, K. R. Schneider

Research output: Contribution to journalArticlepeer-review

Abstract

We consider a model chemical kinetics system describing the dynamics of species concentrations taking part is consecutive-competitive reaction in a continuopusly stirred tank reactor. Corresponding dynamical system has a continua of equilibria. Particular equilibrium to which the solution of the system tends depends on the initial conditions. The global behavior of the system and its reductions via the invariant manifold and the boundary function methods are studied.

Original languageEnglish
Pages (from-to)57-74
Number of pages18
JournalJournal of Mathematical Chemistry
Volume37
Issue number1
DOIs
StatePublished - Jan 2005

Keywords

  • boundary function method
  • chemical kinetics
  • dynamical system
  • invariant manifold
  • singular perturbations

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