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 …

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

A dispersing billiard (Lorentz gas) and focusing billiards (in the form of a stadium) with time-
dependent boundaries are considered. The problem of particle acceleration in such billiards …

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 …

The paper is devoted to the problem of Fermi acceleration in Lorentz-type dispersing
billiards whose boundaries depend on time in a certain way. Two cases of boundary …

In this paper we use discrete dynamical systems formalism to carefully investigate the effect
of a time-dependent perturbation on a classical mechanical model. We present a study of a …

Bounded gain of energy on the breathing circle billiard Page 1 Nonlinearity Bounded gain of
energy on the breathing circle billiard To cite this article: Sylvie Oliffson Kamphorst and Sônia …

This is an attempt to study mathematically billiards with moving boundaries. We assume that
the boundary remains closed, regular and strictly convex, deforming periodically in time, in …

We investigate the dynamics of a realization of Fermi's relativistic acceleration mechanism
that is a charged test particle oscillating between two reflecting plates that move …

The motion of a classical particle bouncing elastically between two parallel walls, with one of
the walls undergoing a periodic motion is considered. This problem, called Fermi-Ulamping …