Relaxation oscillations in a kinetic model of catalytic hydrogen oxidation involving a chase on canards Full article
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Chemical Engineering Journal
ISSN: 1385-8947 |
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| Output data | Year: 2003, Volume: 91, Number: 2-3, Pages: 151-158 Pages count : 8 DOI: 10.1016/s1385-8947(02)00148-1 | ||||
| Tags | Hopf bifurcation; Kinetic model; Weak stability dynamics; Relaxation oscillations; Canards. | ||||
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Abstract:
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.
Cite:
Chumakov G.A.
, Chumakova N.A.
Relaxation oscillations in a kinetic model of catalytic hydrogen oxidation involving a chase on canards
Chemical Engineering Journal. 2003. V.91. N2-3. P.151-158. DOI: 10.1016/s1385-8947(02)00148-1 WOS Scopus РИНЦ OpenAlex
Relaxation oscillations in a kinetic model of catalytic hydrogen oxidation involving a chase on canards
Chemical Engineering Journal. 2003. V.91. N2-3. P.151-158. DOI: 10.1016/s1385-8947(02)00148-1 WOS Scopus РИНЦ OpenAlex
Dates:
| Published print: | Mar 15, 2003 |
Identifiers:
| Web of science: | WOS:000181148600008 |
| Scopus: | 2-s2.0-0037445464 |
| Elibrary: | 13433366 |
| OpenAlex: | W2000507350 |