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Acceleration of bouncing balls in external fields

Tyll Krüger, L. D. Pustyl'nikov, Serge Troubetzkoy

math.DSarXiv:math/9407223

Abstract

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.

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