Relaxation Oscillations in a Kinetic Model of Catalytic Hydrogen Oxidation Involving a Chase on Canards
Chemical Engineering Journal
, E-ISSN: 1873-3212
||Canards, Hopf bifurcation, Kinetic model, Relaxation oscillations, Weak stability dynamics
Sobolev Institute of Mathematics, SB RAS, 630090 Novosibirsk, Russia
Boreskov Institute of Catalysis, SB RAS, 630090 Novosibirsk, Russia
International Association for the Promotion of Co-operation with Scientists from the New Independent States of the Former Soviet Union
A detailed study of two- and three-variable mathematical models of a heterogeneous catalytic system is presented with special attention to weakly stable dynamics, a type of complex irregular behavior frequently encountered in oscillating chemical reactions. One of the most important properties of the weakly stable dynamics is “a sensitive dependence on the initial conditions”. Our analysis of a global error in long-term numerical integration shows that a high sensitive dependence on the initial conditions appears in the three-variable system with fast, intermediate and slow variables due to existence of the canard cycles which occur close to Hopf bifurcation in the one-parameter family of two-variable subsystems.