A Parametric Analysis of the Basic Nonlinear Models of the Catalytic Reactions

V. I. Bykov¹ ; S. B. Tsybenova¹

¹ Emanuel Institute of Biochemical Physics, Russian Academy of Sciences, ul. Kosygina 4, Moscow, 119334 Russia

Mathematical modelling of natural phenomena, Tome 10 (2015) no. 5, pp. 68-83.

Résumé

A series of the simplest thermokinetic models, in which the kinetic subsystem corresponds to traditional catalytic mechanisms, such as the Eley–Rideal mono- and bimolecular mechanisms and the Langmuir–Hinshelwood mechanism, and autocatalytic mechanisms characterized by multiplicity of steady states and autooscillations in the kinetic region, were considered. The method of continuation along a parameter was used for studying these basic models of thermokinetics. The parametric analysis performed allowed us to identify parameter regions characterized by critical effects (multiplicity of steady states and autooscillations).

Détail

DOI : 10.1051/mmnp/201510505

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