Stability Problem of Canard-Cycles on a Finite Interval Full article
| Conference |
8th International Conference of Numerical Analysis and Applied Mathematics 19-25 Sep 2010 , Rhodes |
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| Source | ICNAAM 2010: International Conference of Numerical Analysis and Applied Mathematics 2010 Compilation, 2010. ISBN 978-0-7354-0834-0. |
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| Journal |
AIP Conference Proceedings
ISSN: 0094-243X , E-ISSN: 1551-7616 |
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| Output data | Year: 2010, Volume: 1281, Pages: 2181-2183 Pages count : 3 DOI: 10.1063/1.3498402 | ||||
| Tags | canard solution, chemical kinetics, nonlinear systems, numerical simulation, stability | ||||
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Abstract:
A detailed study of two-variable mathematical model of a heterogeneous catalytic reaction is presented with special attention to the stability problem of canard-cycles on a finite interval. Our analysis of the global error behavior in a long-time numerical integration shows that a high sensitive dependence on the initial conditions appears due to the existence of a shower-type bundle of trajectories which is formed by stable and unstable canard solutions.
Cite:
Chumakov G.A.
, Chumakova N.A.
, Lashina E.A.
Stability Problem of Canard-Cycles on a Finite Interval
In compilation ICNAAM 2010: International Conference of Numerical Analysis and Applied Mathematics 2010. 2010. – C.2181-2183. – ISBN 978-0-7354-0834-0. DOI: 10.1063/1.3498402 WOS Scopus РИНЦ ANCAN OpenAlex
Stability Problem of Canard-Cycles on a Finite Interval
In compilation ICNAAM 2010: International Conference of Numerical Analysis and Applied Mathematics 2010. 2010. – C.2181-2183. – ISBN 978-0-7354-0834-0. DOI: 10.1063/1.3498402 WOS Scopus РИНЦ ANCAN OpenAlex
Dates:
| Published print: | Sep 30, 2010 |
Identifiers:
| Web of science: | WOS:000289661501203 |
| Scopus: | 2-s2.0-79954512474 |
| Elibrary: | 16981906 |
| Chemical Abstracts: | 2010:1178039 |
| Chemical Abstracts (print): | 154:51497 |
| OpenAlex: | W2025481574 |