Bounded gain of energy on the breathing circle billiard
Sylvie Oliffson Kamphorst; Sônia Pinto de Carvalho; Sylvie Oliffson Kamphorst; Departamento de Matemática, ICEx, UFMG, 30123-970 Belo Horizonte, Brazil; Sônia Pinto de Carvalho; Departamento de Matemática, ICEx, UFMG, 30123-970 Belo Horizonte, Brazil
Журнал:
Nonlinearity
Дата:
1999-09-01
Аннотация:
The breathing circle is a two-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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