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 引用本文: 张素英, 邓子辰. 用投影方法求耗散广义Hamilton约束系统的李群积分[J]. 应用数学和力学, 2004, 25(4): 385-390.
ZHANG Su-ying, DENG Zi-chen. Lie Group Integration for Constrained Generalized Hamiltonian System With Dissipation by Projection Method[J]. Applied Mathematics and Mechanics, 2004, 25(4): 385-390.
 Citation: ZHANG Su-ying, DENG Zi-chen. Lie Group Integration for Constrained Generalized Hamiltonian System With Dissipation by Projection Method[J]. Applied Mathematics and Mechanics, 2004, 25(4): 385-390.

• 中图分类号: O322

Lie Group Integration for Constrained Generalized Hamiltonian System With Dissipation by Projection Method

• 摘要: 针对耗散广义Hamilton约束系统，通过引入拉格朗日乘子和采用投影技术，给出了一种保持动力系统内在结构和约束不变性的李群积分法．首先将带约束条件的耗散Hamilton系统化为无约束广义Hamilton系统, 进而讨论了无约束广义Hamilton系统的李群积分法，最后给出了广义Hamilton约束系统李群积分的投影方法．采用投影技术保证了约束的不变性，引入拉格朗日乘子后，在向约束流形投影时不会破坏原动力系统的李群结构．讨论的内容仅限于完整约束系统, 通过数值例题说明了方法的有效性．
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出版历程
• 收稿日期:  2002-07-17
• 修回日期:  2002-07-17
• 刊出日期:  2004-04-15

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