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Global behavior and asymptotic reduction of a chemical kinetics system with continua of equilibria |
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| Authors: | |
| Institution: | (1) Department of Mathematical Sciences, University of Montana, Missoula, MT 59812, USA;(2) Weierstraß–Institut für Angewandte Analysis und Stochastik, Mohrenstraße 39, D-10117 Berlin, Germany |
| 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.AMS Subject Classification: 34D15, 34D35, 37C10 |
| Keywords: | chemical kinetics dynamical system invariant manifold singular perturbations boundary function method |
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