This article is a methodological manual for those who are interested in chaotic dynamics. An
exposition is given on the foundations of the theory of deterministic chaos that originates in …

The review is devoted to plasma structures with an extremely small transverse size, namely,
thin current sheets that have been discovered and investigated by spacecraft observations …

The chaotic low energy region of the Fermi-Ulam simplified accelerator model is
characterized by the use of scaling analysis. It is shown that the average velocity and the …

В течение долгого времени представление о хаосе ассоциировалось с допущением,
что в системе необходимо, по крайней мере, возбуждение чрезвычайно большого …

We explore the dynamical evolution of an ensemble of noninteracting particles propagating
freely in an elliptical billiard with harmonically driven boundaries. The existence of Fermi …

We study Hamiltonian systems which depend slowly on time. We show that if the
corresponding frozen system has a uniformly hyperbolic invariant set with chaotic behaviour …

Fermi acceleration in a Fermi-Ulam model, consisting of an ensemble of particles bouncing
between two, infinitely heavy, stochastically oscillating hard walls, is investigated. It is shown …

Some dynamical and chaotic properties are studied for a classical particle bouncing
between two rigid walls, one of which is fixed and the other moves in time, in the presence of …

Recent results concerned with the energy growth of particles inside a container with slowly
moving walls are summarized, augmented, and discussed. For breathing bounded domains …

We study dynamical properties of an ensemble of noninteracting particles in a time-
dependent elliptical-like billiard. It was recently shown [Phys. Rev. Lett. 100, 014103 (2008) …