BLACK SWANS AND CANARDS IN TWO PREDATOR - ONE PREY MODEL

被引：2

作者：

Shchepakina, Elena ^{[1
]}

机构：

[1] Samara Natl Res Univ, Dept Differential Equat & Control Theory, Samara, Russia

来源：

MATHEMATICAL MODELLING OF NATURAL PHENOMENA | 2019年 / 14卷 / 04期

关键词：

Singular perturbation; stability; invariant manifolds; canards; black swans; population dynamics; competition model; THERMAL-EXPLOSION; DUCK-TRAJECTORIES; OSCILLATIONS;

D O I：

10.1051/mmnp/2019024

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, we show how canards can be easily caught in a class of 3D systems with an exact black swan (a slow invariant manifold of variable stability). We demonstrate this approach to a canard chase via the two predator - one prey model. It is shown that the technique described allows us to get various 3D oscillations by changing the shape of the trajectories of two 2D-projections of the original 3D system.

引用

页数：12

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