Periodic motions in the Fermi—Ulam model

Periodic motions in the Fermi—Ulam model

We consider the periodic solutions of the equation satisfying −1 ≤ x ≤ 1 ẋ(t−) = −ẋ(t+) if x(t) = ±1, where f is a continuous function, periodic in t. A sequence of periodic solutions is obtained via the variational method.

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Veröffentlicht in:Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2008-12, Vol.138 (6), p.1235-1259
1. Verfasser: Jiang, Mei-Yue
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
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Zusammenfassung:We consider the periodic solutions of the equation satisfying −1 ≤ x ≤ 1 ẋ(t−) = −ẋ(t+) if x(t) = ±1, where f is a continuous function, periodic in t. A sequence of periodic solutions is obtained via the variational method.
ISSN:0308-2105
1473-7124
DOI:10.1017/S0308210507000844