CANARD TRAJECTORIES IN 3D PIECEWISE LINEAR SYSTEMS

被引：18

作者：

Prohens, Rafel ^{[1
]}

Teruel, Antonio E. ^{[1
]}

机构：

[1] Univ Illes Balears, Dep Ciencies Matemat & Informat, Palma De Mallorca 07122, Illes Balears, Spain

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2013年 / 33卷 / 10期

关键词：

Singular perturbation; slow-fast system; canard solutions; piecewise linear differential systems; slow manifold; SINGULAR PERTURBATION-THEORY; MODEL; EXISTENCE; CURVATURE; GEOMETRY;

D O I：

10.3934/dcds.2013.33.4595

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present some results on singularly perturbed piecewise linear systems, similar to those obtained by the Geometric Singular Perturbation Theory. Unlike the differentiable case, in the piecewise linear case we obtain the global expression of the slow manifold S-epsilon As a result, we characterize the existence of canard orbits in such systems. Finally, we apply the above theory to a specific case where we show numerical evidences of the existence of a canard cycle.

引用

页码：4595 / 4611

页数：17

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