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Separation of particles in time-dependent focusing billiards
(Elsevier B.V., 2010-12-01)
We consider a family of stadium-like billiards with time-dependent boundaries. Two different cases of time dependence are studied: (i) the fixed boundary approximation and (ii) the exact model which takes into account the ...
Recurrence of particles in static and time varying oval billiards
(Elsevier B.V., 2012-04-16)
Dynamical properties are studied for escaping particles, injected through a hole in an oval billiard. The dynamics is considered for both static and periodically moving boundaries. For the static boundary, two different ...
On the dynamical properties of an elliptical-oval billiard with static boundary
(Elsevier B.V., 2010-04-01)
Some dynamical properties for a classical particle confined inside a closed region with an elliptical-oval-like shape are studied. The dynamics of the model is made by using a two-dimensional nonlinear mapping. The phase ...
Boundary crisis and suppression of Fermi acceleration in a dissipative two-dimensional non-integrable time-dependent billiard
(Elsevier B.V., 2010-07-05)
Some dynamical properties for a dissipative time-dependent oval-shaped billiard are studied. The system is described in terms of a four-dimensional nonlinear mapping. Dissipation is introduced via inelastic collisions of ...
A peculiar Maxwell's Demon observed in a time-dependent stadium-like billiard
(Elsevier B.V., 2012-10-15)
The dynamics of a driven stadium-like billiard is considered using the formalism of discrete mappings. The model presents a resonant velocity that depends on the rotation number around fixed points and external boundary ...
Dynamical and statistical properties of a rotating oval billiard
(Elsevier B.V., 2014)
A family of stadium-like billiards with parabolic boundaries under scaling analysis
(Iop Publishing Ltd, 2011-04-29)
Some chaotic properties of a family of stadium-like billiards with parabolic focusing components, which is described by a two-dimensional nonlinear area-preserving map, are studied. Critical values of billiard geometric ...
The presence and lack of Fermi acceleration in nonintegrable billiards
(Iop Publishing Ltd, 2007-09-14)
The unlimited energy growth ( Fermi acceleration) of a classical particle moving in a billiard with a parameter-dependent boundary oscillating in time is numerically studied. The shape of the boundary is controlled by a ...
Circular, elliptic and oval billiards in a gravitational field
(Elsevier B.V., 2015)
Fermi acceleration on the annular billiard: a simplified version
(Iop Publishing Ltd, 2006-04-07)
A simplified version of a time-dependent annular billiard is studied. The dynamics is described using nonlinear maps and we consider two different configurations for the billiard, namely (i) concentric and (ii) eccentric ...