In this paper we deal with non-smooth vector fields on the plane. We prove that the analysis of their local behavior around certain typical singularities can be treated via singular perturbation theory. In fact, after a ...

In this paper we deal with non-smooth vector fields on the plane. We prove that the analysis of their local behavior around certain typical singularities can be treated via singular perturbation theory. In fact, after a ...

In this paper we deal with non-smooth vector fields on the plane. We prove that the analysis of their local behavior around certain typical singularities can be treated via singular perturbation theory. In fact, after a ...

This paper is concerned with a geometric study of (��n−1)-parameter families of constrained differential systems, where n≥ 2. Our main results say that the dynamics of such a family close to the impasse set is equivalent ...

In this paper we focus on a class of symmetric vector fields in the context of singularly perturbed fast-slow dynamical systems. Our main question is to know how symmetry properties of a dynamical system are affected by ...

In this article we deal with singularly perturbed Filippov systems Zε: (1) ˙x = ( F(x, y, ε) if h(x, y, ε) ≤ 0, G(x, y, ε) if h(x, y, ε) ≥ 0, εy˙ = H(x, y, ε), where ε ∈ R is a small parameter, x ∈ Rn, n ≥ 2, and y ∈ R ...

In this paper we study three time scale singular perturbation problemsepsilon x ' = f(x, epsilon, delta), y ' = g(x, epsilon, delta), z ' = delta h(x, delta, delta),where x = (x, y, z) is an element of R-n x R-m x R-p, ...

This paper is concerned with a geometric study of singularly perturbed systems of ordinary differential equations expressed by (n-1)-parameter families of smooth vector fields on ℝl, where n ≥ 2. The inherent characteristic ...