The chapter is devoted to the investigation of the relationship between slow integral
manifolds of singularly perturbed differential equations and critical phenomena in chemical …

Canards are periodic orbits for which the trajectory follows both the attracting and repelling
parts of a slow manifold. They are associated with a dramatic change in the amplitude and …

The term “canard” or “French duck” is comparatively recent in scientific literature. It has been
introduced by French mathematicians investigating van der Pol's equation [3, 5]. A trajectory …

The paper is devoted to the investigation of the relationship between slow integral manifolds
of singularly perturbed differential equations and critical phenomena in chemical kinetics …

The paper deals with the study of the relation between the Andronov {Hopf bifurcation, the
canard explosion and the critical phenomena for the van der Pol's type system of singularly …

We study the existence of combustion waves for an autocatalytic reaction in the non‐
adiabatic case. Based on the fact that the reaction system has canard solutions separating …

The basic elements of the theory of slow invariant manifolds and canard phenomena of
singularly perturbed nonlinear differential equations in the context of thermal-explosion …

The mathematical model of a 3-D autocatalator is studied using the geometric theory of
singular perturbations, namely, the black swan and canard techniques. Critical regimes are …

A model for the semiconductor optical amplifier (SOA) consisting of two coupled, nonlinear,
first-order differential equations is analytically explored on the basis of the geometric theory …

In two previous papers we have proposed a new method for proving the existence of
“canard solutions” on one hand for three and four-dimensional singularly perturbed systems …