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Relaxation Oscillations in a Kinetic Model of Catalytic Hydrogen Oxidation Involving a Chase on Canards Full article

Conference XV International Conference on Chemical Reactors
05-08 Jun 2001 , Helsinki
Journal Chemical Engineering Journal
ISSN: 1385-8947 , E-ISSN: 1873-3212
Output data Year: 2003, Volume: 91, Number: 2-3, Pages: 151-158 Pages count : 8 DOI: 10.1016/S1385-8947(02)00148-1
Tags Canards, Hopf bifurcation, Kinetic model, Relaxation oscillations, Weak stability dynamics
Authors Chumakov G.A. 1 , Chumakova N.A. 2
Affiliations
1 Sobolev Institute of Mathematics, SB RAS, 630090 Novosibirsk, Russia
2 Boreskov Institute of Catalysis, SB RAS, 630090 Novosibirsk, Russia

Funding (1)

1 International Association for the Promotion of Co-operation with Scientists from the New Independent States of the Former Soviet Union 99-01882

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 ANCAN OpenAlex
Dates:
Published online: Oct 8, 2002
Published print: Mar 15, 2003
Identifiers:
Web of science: WOS:000181148600008
Scopus: 2-s2.0-0037445464
Elibrary: 13433366
Chemical Abstracts: 2003:105483
Chemical Abstracts (print): 138:243920
OpenAlex: W2000507350
Citing:
DB Citing
Web of science 25
Scopus 30
Elibrary 32
OpenAlex 27
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