This book aims to provide an introduction to dynamical systems with multiple time scales. As
in any overview book, several topics are covered only quite briefly. My aim was to focus on …

In this paper, we review several results from singularly perturbed differential equations with
multiple small parameters. In addition, we develop a general conceptual framework to …

1. Fundamentals of piecewise-smooth, continuous systems. 1.1. Applications. 1.2. A
framework for local behavior. 1.3. Existence of equilibria and fixed points. 1.4. The observer …

For many physical systems the transition from a stationary solution to sustained small
amplitude oscillations corresponds to a Hopf bifurcation. For systems involving impacts …

Non-smooth dynamical system Systems derived from ordinary differential equations when
the non-uniqueness of solutions is allowed. In this article we deal with discontinuous vector …

This paper is concerned with some aspects of the qualitative–geometric theory of non-
smooth systems. We present a survey of the state of the art on the connection between the …

The present paper aims to provide a detailed qualitative analysis of a non-smooth Gause
predator–prey model. In this model, the saturating functional response function with a …

A non-smooth Filippov ecosystem with group defense is proposed to investigate the effects
of threshold and intermittent control strategy for IPM. The proposed model has been …

Boundary equilibria bifurcation (BEB) arises in piecewise-smooth (PWS) systems when an
equilibrium collides with a discontinuity set under parameter variation. Singularly perturbed …

Mathematical models can assist to design and understand control strategies for limited
resources in Integrated Pest Management (IPM). This paper studies the dynamical behavior …