In this survey we discuss current directions of research in the dynamics of nonsmooth
systems, with emphasis on bifurcation theory. An introduction to the state-of-the-art (also for …

For piecewise-smooth maps, new dynamics can be created by varying parameters such that
a fixed point collides with a surface on which the map is nonsmooth. If the map is continuous …

In order to control pests, a specific management strategy called the threshold policy is
proposed, which can be described by Filippov systems (or piecewise smooth systems). The …

This paper proposes a strategy for the classification of codimension-two discontinuity-
induced bifurcations of limit cycles in piecewise smooth systems of ordinary differential …

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 …

We first study the problem of chaotic behaviour in time-perturbed discontinuous systems
whose unperturbed part has a piecewise C1 homoclinic solution transversally crossing the …

SLIDECONT, an AUTO97 driver for sliding bifurcation analysis of discontinuous piecewise-
smooth autonomous systems, known as Filippov systems, is described in detail. Sliding …

This paper proposes a mathematical model that describes the interaction of prey and
predators, assuming logistic growth for both species, harvesting and alternative food for …

The aim of this paper is the study of the long-term behavior of population communities
described by piecewise smooth models (known as Filippov systems). Models of this kind are …

As the parameters of a piecewise-smooth system of ODEs are varied, a periodic orbit
undergoes a bifurcation when it collides with a surface where the system is discontinuous …