Stability Problem of Canard-Cycles on a Finite Interval

被引：1

作者：

Chumakov, Gennadii A. ^{[1
]}

Chumakova, Nataliya A. ^{[2
]}

Lashina, Elena A. ^{[2
]}

机构：

[1] Sobolev Inst Math, Novosibirsk, Russia

[2] Boreskov Inst Catalysis, Novosibirsk, Russia

来源：

NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS I-III | 2010年 / 1281卷

关键词：

nonlinear systems; numerical simulation; stability; chemical kinetics; canard solution;

D O I：

10.1063/1.3498402

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

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.

引用

页码：2181 / +

页数：2

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