In this paper we exhibit 2D and 3D piecewise smooth vector fields that have, at the same
time, first integrals and chaotic behavior. The fact of existing first integrals means that the …

In this paper it is exhibited the bifurcation scenario concerning a typical singularity of planar
piecewise smooth vector fields in two zones. This singularity is characterized by a quadratic …

While there has been much computational work on the effect of intervention measures, such
as vaccination or quarantine, the influence of social distancing on the epidemics' outbursts is …

Global dynamics of a Filippov susceptible, infectious, quarantine, and recovered model
subject to delayed relay control are investigated in this work. The global stability of equilibria …

The paper is concerned with a diffusive susceptible-asymptomaticinfected-recovered-type
COVID-19 model with non-monotone incidence rate and homogeneous zero-flux boundary …

In this paper we consider a piecewise smooth mathematical model to chemoimmunotherapy
. The positive octant of the 3D space (N, I, Q) is partitioned into 4 regions separated by the …

In this paper, boundary regions of 1-D linear piecewise-smooth discontinuous maps are
examined analytically. It is shown that, under certain parameter conditions, maps exhibit …

One of the most important branches of nonlinear control theory of dynamical systems is the
so-called sliding mode. Its aim is the design of a (nonlinear) feedback law that brings and …

The study of piecewise smooth vector fields (PSVFs) has been consolidated in recent years
not only because of the beauty of the theoretical results, but also because of the proximity of …

In this paper we obtain 32 canonical forms for 3D piecewise smooth vector fields presenting
the so called cusp-fold singularity. All these canonical forms are topologically distinct and …