Geometric Desingularization in Slow-Fast Systems with Application to the Glycolytic Oscillations Model

被引：1

作者：

Kosiuk, Ilona ^{[1
]}

Szmolyan, Peter ^{[2
]}

机构：

[1] Max Planck Inst Math Sci, Inselstr 22, D-04103 Leipzig, Germany

[2] Vienna Univ Technol, Inst Anal & Sci Comp, A-1040 Vienna, Austria

来源：

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

关键词：

slow-fast dynamics; relaxation oscillations; geometric singular perturbation theory; blow-up method; slow manifolds; SINGULAR PERTURBATION-THEORY;

D O I：

10.1063/1.3498433

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

An introduction to some recently developed methods for the analysis of systems of singularly perturbed ordinary differential equations is given in the context of a specific problem describing glycolytic oscillations. Concepts from geometric singular perturbation theory and geometric desingularization based on the blow-up method are explained.

引用

页码：235 / +

页数：2

共 5 条

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