From the reviews:" The reading is very easy and pleasant for the non-mathematician, which
is really noteworthy. The two chapters enunciate the basic principles of the field,... indicate …

We show that if a homeomorphism f of the torus, isotopic to the identity, has three or more
periodic orbits with non-collinear rotation vectors, then it has positive topological entropy …

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 …

Many biperiodic flows can be modelled by maps of a circle to itself. For such maps the
transition from zero to positive topological entropy can be achieved in several ways. We …

Phase-Locked Loops (PLLs) are electronic systems that can be used as a synchronized
oscillator, a driver or multiplier of frequency, a modulator or demodulator and as an amplifier …

We study a class of maps of the real line into itself which are degree one liftings of maps of
the circle and have discontinuities only of a special type. This class contains liftings of …

Robust heteroclinic cycles (RHCs) arise naturally in collections of symmetric differential
equations derived as dynamical models in many fields, including fluid mechanics, game …

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 …

Periodic and aperiodic regimes in a forced chemical system are studied experimentally and
the observations are interpreted on the basis of phase transition curves evaluated both from …

We define the notions of the pseudo-rotation set and rotation shadowing of pseudo-orbits for
endomorphisms of the circle and for homeomorphisms of the annulus. The results include …