Bounded Gain of Energy on the Breathing Circle Billiard

Details Bounded Gain of Energy on the Breathing Circle Billiard Bounded Gain of Energy on the Breathing Circle Billiard

1998-11-23

arxiv.org/abs/chao-dyn/9811023v1

Nonlinear Sciences

Chaotic Dynamics

9 pages, 2 figures

Scientific paper

10.1088/0951-7715/12/5/310

The Breathing Circle is a 2-dimensional generalization of the Fermi
Accelerator. It is shown that the billiard map associated to this model has
invariant curves in phase space, implying that any particle will have bounded
gain of energy.

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