[图书][B] Canards and Black Swans

E Shchepakina, V Sobolev, MP Mortell, E Shchepakina… - 2014 - Springer
… , 3-D autocatalator model, using the techniques of canard canards and black swan black
swans. The existence of canard cascade canard cascades is stated for the van der Pol model …

Integral manifolds, canards and black swans

E Shchepakina, V Sobolev - Nonlinear Analysis: Theory, Methods & …, 2001 - Elsevier
… These surfaces are considered as natural generalizations of the notion of a canard. We
suggest to use the term “black swan” by two reasons. The first one is that a swan is a bird of the …

Canards and black swans in a model of a 3-D autocatalator

E Shchepakina - Journal of Physics: Conference Series, 2005 - iopscience.iop.org
… , the black swan and canard techniques. Critical regimes are modeled by canards (one–…
slow integral manifold (black swan) consisting entirely of canards, which simulate the critical …

Black swans and canards in laser and combustion models

E Shchepakina, V Sobolev - Singular perturbations and hysteresis, 2005 - SIAM
… We consider different problems using the techniques of canards and black swans. The …
to canards the term “canard” is associated with periodic trajectories. In our work a canard is a …

[PDF][PDF] Canards, Black Swans and Control of Chemical Reactions

V Sobolev, E Shchepakina - 2009 - conservancy.umn.edu
The work is devoted to the investigation of critical phenomena using the geometric theory of
singular perturbations, namely, the black swans and canards techniques. The interest to …

[PDF][PDF] Canards, Black Swans and Control of Chemical Reactions

E Shchepakina¹, V Sobolev¹ - Citeseer
… The application of black swans consisting entirely of canards to the modeling of critical …
Moreover we can use black swans for the modeling of critical phenomena in chemical …

[PDF][PDF] A black swan and canard cascades in an SIR infectious disease model

A Korobeinikov, E Shchepakina… - Mathematical Biosciences …, 2019 - academia.edu
… In particular, we discuss examples of the canard cascades and a black swan that arise in …
stability, and in particular canards, canard cascades, and black swans. The term “canard” were …

Black swans and canards in self-ignition problem

E Shchepakina - Nonlinear analysis: real world applications, 2003 - Elsevier
… Recall that a trajectory of a singularly perturbed system of differential equations is called a
canard, if it follows at first a stable integral manifold, and then an unstable one. Thus, the black …

Canards, canard cascades and black swans

V Sobolev, E Shchepakina - Revue Africaine de Recherche en …, 2015 - inria.hal.science
… As a result we obtain the continuous stable/unstable invariant surface or black swan [8, 18,
22, 23, 24]. Such surfaces are considered as a multidimensional analogue of the notion of a …

Black swans and canards in two predator–one prey model

E Shchepakina - Mathematical Modelling of Natural Phenomena, 2019 - mmnp-journal.org
… 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 …