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Algebraic structure and Poisson method for a weakly nonholonomic system
  • 期刊名称：TAML
  • 时间：2011.3.3
  • 页码：-
  • 分类：O15[理学—数学;理学—基础数学]
  • 相关基金：supported by the National Natural Science Foundation of China(10772025,10932002,10972031); the Beijing Municipal Key Disciplines Fund for General Mechanics and Foundation of Mechanics
  • 相关项目：约束力学系统的对称性、约化与控制
作者： Mei Fengxiang|Wu Huibin|
中文摘要：

The algebraic structure and the Poisson method for a weakly nonholonomic system are studied.The differential equations of motion of the system can be written in a contravariant algebra form and its algebraic structure is discussed.The Poisson theory for the systems which possess Lie algebra structure is generalized to the weakly nonholonomic system.An example is given to illustrate the application of the result.

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