The survey is devoted to the topological dynamics of maps defined on one-dimensional
continua such as a closed interval, a circle, finite graphs (for instance, finite trees), or …

We modify the definition of chaos in the sense of Devaney, by replacing the condition of
topological transitivity by topological exactness. We study basic properties of exact Devaney …

It is well known that any given discrete dynamical system uniquely induces its fuzzified
counterpart, ie a discrete dynamical system on the space of fuzzy sets. In this paper we study …

Digital memcomputing machines (DMMs) are non-linear dynamical systems designed so
that their equilibrium points are solutions of the Boolean problem they solve. In a previous …

This paper is focused on studying Parrondo's paradox in non-linear dynamics, specifically
how the periodic combination of the individual maps f and g can give rise to chaos or order …

In this paper we compute topological entropy with prescribed accuracy for different
economic models, showing the existence of a topologically chaotic regime for them. In order …

We analyze chaos in the well-known nonautonomous Double-Gyre system. A key focus is
on folding, which is possibly the less-studied aspect of the “stretching+ folding= chaos” …

The concept of topological transitivity goes back to GD Birkhoff [1] who introduced it in 1920
(for flows). This article will concentrate on topological transitivity of dynamical systems given …

Let is calculated for some families of graphs. The main tool is a refined version of the
structure theorem for mixing graph maps. It also yields new proofs of some known results …

In this article, we investigate various forms of shadowing for a general triangular system. In
particular, we relate various notions of shadowing for a triangular system with various …