Weakly Stable Dynamics in a Three-Dimensional Kinetic Model of Catalytic Hydrogen Oxidation
G. A. Chumakov1 and N. A. Chumakova2
1S. L. Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences,
Pr. Akademika Koptyuga 4, Novosibirsk 630090 (Russia), E-mail: chumakov@math.nsc.ru
2G. K. Boreskov Institute of Catalysis, Siberian Branch of the Russian Academy of Sciences,
Pr. Akademika Lavrentyeva 5, Novosibirsk 630090 (Russia), E-mail: chum@catalysis.nsk.su
Страницы: 63-66
Аннотация
Some new results concerning complex dynamics in a kinetic model of heterogeneous hydrogen oxidation over metallic catalysts are presented. Relaxation oscillations with a high sensitive dependence on the initial conditions arise in the three-variable system with fast, intermediate and slow variables due to existence of the canard cycles that occur in the one-parameter family of two-variable subsystems. A key feature of the weakly stable dynamics appearance will be successive period doubling bifurcations in which the system behaviour becomes progressively more complex until the attractor appears.
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