Bounded gain of energy on the breathing circle billiard

Authors
Kamphorst, SO de Carvalho, SP
Citation
So. Kamphorst et Sp. De Carvalho, Bounded gain of energy on the breathing circle billiard, NONLINEARIT, 12(5), 1999, pp. 1363-1371
Citations number
9
Categorie Soggetti
Mathematics
Journal title
NONLINEARITY
ISSN journal
09517715 → ACNP
Volume
12
Issue
5
Year of publication
1999
Pages
1363 - 1371
Database
ISI
SICI code
0951-7715(199909)12:5<1363:BGOEOT>2.0.ZU;2-M
Abstract
The breathing circle is a two-dimensional generalization of the Fermi accel erator. It is shown that the billiard map associated to this model has inva riant curves in phase space, implying that any particle will have bounded g ain of energy.