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- W2334928542 abstract "We study a single mode for the Kirchhoff string vibrating in space. In 3D a single mode is generally almost periodic in contrast to the 2D periodic case.In order to show a complete geometrical description of a single mode we prove some monotonicity properties of the almost periods of the solution,with respect to the mechanical energy and the momentum. As a consequence of these properties, we observe that a planar single mode in 3D is always unstable, while it is known that a single mode in 2D is stable (under a suitable definition of stability), if the energy is small." @default.
- W2334928542 created "2016-06-24" @default.
- W2334928542 creator A5039303522 @default.
- W2334928542 date "2013-01-01" @default.
- W2334928542 modified "2023-09-23" @default.
- W2334928542 title "Free vibrations in space of the single mode for the Kirchhoff string" @default.
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- W2334928542 doi "https://doi.org/10.3934/cpaa.2013.12.2947" @default.
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