Acceleration of bouncing balls in external fields
T Kruger; L D Pustyl'nikov; S E Troubetzkoy; T Kruger; Forschungszentrum BiBoS, Bielefeld Univ., Germany; L D Pustyl'nikov; Forschungszentrum BiBoS, Bielefeld Univ., Germany; S E Troubetzkoy; Forschungszentrum BiBoS, Bielefeld Univ., Germany
Журнал:
Nonlinearity
Дата:
1995-05-01
Аннотация:
We introduce two models, the Fermi-Ulam model in an external field and a one dimensional system of bouncing balls in an external field above a periodically oscillating plate. For both models we investigate the possibility of unbounded motion. In a special case the two models are equivalent. We also show the optimality of Pustyl'nikov's version of the KAM theorem.
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