Human's observation and measurement of natural phenomena are always carried out with
finite precision. This precision improves with the advance of science and technology, but it …

This survey article is concerned with the study of bifurcations of discontinuous piecewise-
smooth maps, with a special focus on the one-dimensional case. We review the literature on …

If is a unimodal map, then its topological entropy is related to the smallest positive zero s of a
certain power series (the kneading invariant of f) by. Moreover, it is implicit in the results of …

Rotation Theory is a part of the Dynamical Systems Theory. It deals with ergodic averages
and their limits, not only for almost all points, like in Ergodic Theory, but for all points. It grew …

We define a family of discontinuous maps on the circle, called Bowen-Series-like maps, for
geometric presentations of surface groups. The family has $2 N $ parameters, where $2 N …

We formulate and study analytically and computationally two families of piecewise linear
degree one circle maps. These families offer the rare advantage of being non‐trivial but …

Consider the two-parameter family of real analytic maps Faj: χ\-+ x+ a+^ sin (2πx) which are
lifts of degree one endomorphisms of the circle. The purpose of this paper is to provide a …

We apply the kneading theory techniques to a class of circle maps with one discontinuity
and we characterize the rotation interval of a map in terms of the kneading sequences. As a …

Given a continuous dynamical system f on a compact metric space X and a continuous
potential Φ: X→ ℝ m, the generalized rotation set is the subset of ℝ m consisting of all …

We review some recent results on a class of maps, called Bowen–Series-like maps,
obtained from a class of group presentations for surface groups. These maps are piecewise …