Math. Model. Nat. Phenom.
Volume 14, Number 4, 2019
Singular perturbations and multiscale systems
|Number of page(s)||12|
|Published online||07 June 2019|
Black swans and canards in two predator – one prey model*
Department of Differential Equations and Control Theory, Samara National Research University,
** Corresponding author: email@example.com
Accepted: 29 April 2019
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.
Mathematics Subject Classification: 34E17 / 92D25
Key words: Singular perturbation / stability / invariant manifolds / canards / black swans / population dynamics / competition model
© EDP Sciences, 2019
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.