Stability Problem of Canard-Cycles on a Finite Interval
8th International Conference of Numerical Analysis and Applied Mathematics
19-25 Sep 2010
||ICNAAM 2010: International Conference of Numerical Analysis and Applied Mathematics 2010
AIP Conference Proceedings
, E-ISSN: 1551-7616
||canard solution, chemical kinetics, nonlinear systems, numerical simulation, stability
Chumakov Gennadii A.
Chumakova Nataliya A.
Lashina Elena A.
Sobolev Institute of Mathematics, Novosibirsk, Russia
Boreskov Institute of Catalysis, Novosibirsk, Russia
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.