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.
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页数：12
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