Inverted oscillations of a driven pendulum
Inverted oscillations of a driven pendulum
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DOI：
10.1098/rspa.1998.0282
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发表时间：
1998-11
期刊：
影响因子：
--
通讯作者：
M. Clifford;S. Bishop
中科院分区：
文献类型：
--
作者：
M. Clifford;S. Bishop
Inverted oscillations of a parametrically driven planar pendulum are considered, together with their relationship to the inverted solution. In particular, a horseshoe structure of the associated manifolds is identified which explains the similarity between the bifurcations of the inverted position and the hanging position. This allows us to apply a large body of existing knowledge to the dynamics enabling a lower bound on the forcing required to achieve inverted oscillations to be established.
