On bi-Hamiltonian geometry of some integrable systems on the sphere with cubic integral of motion
On bi-Hamiltonian geometry of some integrable systems on the sphere with cubic integral of motion
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DOI：
10.1088/1751-8113/42/10/105203
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发表时间：
2008-12
期刊：
影响因子：
--
通讯作者：
A. Vershilov;A. Tsiganov
中科院分区：
文献类型：
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作者：
A. Vershilov;A. Tsiganov
我们获得了球面上一系列可积系统的双哈密顿结构，并附加了三阶动量积分。这些结果应用于 Goryachev 系统和 Goryachev-Chaplygin 顶，我们给出了一个明确的过程来查找分离坐标和分离关系。
We obtain the bi-Hamiltonian structure for a family of integrable systems on the sphere with an additional integral of third order in momenta. These results are applied to the Goryachev system and Goryachev–Chaplygin top for which we give an explicit procedure to find the separated coordinates and the separated relations.