Decay of correlations and control of chaotic billiards
Billiards are dynamical systems with elastic reflections within a region which has a piecewise smooth boundary. In the paper, which is of experimental nature, the billiard is a square with a disc of radius \(R\) placed at its center. Moreover, there is a small hole at one segment of the boundary. By the activity \(A(t)\) is meant the number of particles leaving the system at time \(t:A(t)= -dN(t)/dt\), where \(N(t)\) is the number of particles in the system at time \(t\). As chaos control is used the sinusoidal perturbation to the disc to change the activity \(A(t)\).
scientific article; zbMATH DE number 1107132