Nonlinear Phenomena in Complex Systems, 2013, Vol.16, No.3, pp.247-254

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2013, Vol.16, No.3, pp.247-254

Neutral Particle Focusing in Composite Driven Dissipative Billiards
Benno Liebchen, Christoph Petri, Mario Krizanac, and Peter Schmelchery

Dynamical focusing of ensembles of neutral particles in energy and configuration space has been demonstrated recently [C. Petri et al. 2010, Phys. Rev. E (R) 82, 035204] using timedependent elliptical billiards. The interplay of nonlinearity, dissipation and driving yields the occurrence of attractors in the phase space of the billiard. Here we show that dissipative oval billiards with slowly oscillating elliptical scatterers in the interior allow for a dynamical focusing on simple periodic trajectories with close to perfect efficiency. This setup should be more amenable to corresponding experiments of certain type which are briefly discussed.

Key words: Complex systems, billiards, dynamical focusing, chaos

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