Lagrangian reduction and the double spherical pendulum
Lagrangian reduction and the double spherical pendulum
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拉格朗日约简和双球摆
DOI：
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发表时间：
1993
期刊：
影响因子：
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通讯作者：
J. Scheurle
中科院分区：
文献类型：
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作者：
J. Marsden;J. Scheurle
研究了以圆为对称群的双球摆相对平衡点的稳定性和分岔。这个例子以及其他具有非交换对称群的例子，如刚体，说明了关于拉格朗日约化的一些有用的一般理论。特别是，我们建立了一个令人满意的全球拉格朗日约化理论是一致的经典局部劳斯理论系统的阿贝尔对称群。
This paper studies the stability and bifurcations of the relative equilibrium of the double spherical pendulum, which has the circle as its symmetry group. The example as well as others with nonabelian symmetry groups, such as the rigid body, illustrate some useful general theory about Lagrangian reduction. In particular, we establish a satisfactory global theory of Lagrangian reduction that is consistent with the classical local Routh theory for systems with an abelian symmetry group.