Integrating factors and conservation theorems for Hamilton's canonical equations of motion of variable mass nonholonomic nonconservative dynamical systems

• 来源期刊: 中国物理（英文版）
• 学科: 物理学
• 关键词: variable mass nonholonomic nonconservative system Hamilton's canonical equations integrating factor conservation law
• 年，卷（期）: 2002,（8）
• 页码范围: 760-764
• 页数: 5页
• 分类号: O4
• 语种: 英文

摘要

We present a general approach to the construction of conservation laws for variable mass nonholonomic noncon-servative systems. First, we give the definition of integrating factors, and we study in detail the necessary conditionsfor the existence of the conserved quantities. Then, we establish the conservation theorem and its inverse theorem forHamilton's canonical equations of motion of variable mass nonholonomic nonconservative dynamical systems. Finally,we give an example to illustrate the application of the results.