Math. Model. Nat. Phenom.
Volume 10, Number 5, 2015Dynamics of Chemical Reaction Networks
|Page(s)||68 - 83|
|Published online||27 August 2015|
A Parametric Analysis of the Basic Nonlinear Models of the Catalytic Reactions
Emanuel Institute of Biochemical Physics, Russian
Academy of Sciences, ul. Kosygina 4, Moscow, 119334
⋆ Corresponding author. E-mail: email@example.com
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).
Mathematics Subject Classification: 80A30 / 34C60
Key words: Chemical kinetics / catalysis / thermokinetics / bifurcation
© EDP Sciences, 2015
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