Bounded gain of energy on the breathing circle billiard
Sylvie Oliffson KamphorstDepartamento de Matemática, ICEx, UFMG, 30123-970 Belo Horizonte, BrazilSônia Pinto de CarvalhoDepartamento de Matemática, ICEx, UFMG, 30123-970 Belo Horizonte, Brazil
1999en
ABI
Abstract
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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