Abstract Let I 1= a 0, a 1),…, I k= ak− 1, ak) I_1=a_0,a_1),...,I_k=a_k-1,a_k) be a partition of
the interval I= 0, 1) I=0,1) into kk subintervals. Let f: I→ I f:I→I be a map such that each …

We prove some basic results for a dynamical system given by a piecewise linear and
contractive map on the unit interval that takes two possible values at a point of discontinuity …

We study the asymptotic dynamics of piecewise-contracting maps defined on a compact
interval. For maps that are not necessarily injective, but have a finite number of local extrema …

A map is a piecewise contraction of n intervals (n-PC) if there exist and a partition of into
intervals such that for every (). An infinite word over the alphabet is a natural coding of f if …

We study the complexity of the itineraries of injective piecewise contracting maps on the
interval. We prove that for any such map the complexity function of any itinerary is eventually …

Let $ f:[0, 1)\rightarrow [0, 1) $ be a $2 $-interval piecewise affine increasing map which is
injective but not surjective. Such a map $ f $ has a rotation number and can be parametrized …

Switched server systems are mathematical models of manufacturing, traffic and queueing
systems that have being studied since the early 1990s. In particular, it is known that typically …

We study maps of the unit interval whose graph is made up of two increasing segments and
which are injective in an extended sense. Such maps fp are parametrized by a quintuple p of …

Let $ I=[0, 1) $, $-1<\lambda< 1$ and $ f\colon I\to I $ be a piecewise $\lambda $-affine map
of the interval $ I $, ie, there exist a partition $0= a_0< a_1<\cdots< a_ {k-1}< a_k= 1$ of the …

We prove some basic results for a dynamical system given by a piecewise linear and
contractive map on the unit interval that takes two possible values at a point of discontinuity …