Integrating factors and conservation theorem for holonomic nonconservative dynamical systems in generalized classical mechanics

• 来源期刊: 中国物理（英文版）
• 学科: 物理学
• 关键词: generalized classical mechanics holonomic nonconservative system Hamilton's canonical equation integrating factor conservation theorem
• 年，卷（期）: 2002,（10）
• 页码范围: 988-992
• 页数: 5页
• 分类号: O4
• 语种: 英文

摘要

In this paper, we present a general approach to the construction of conservation laws for generalized classical dynamical systems. Firstly, we give the definition of integrating factors and, secondly, we study in detail the necessary conditions for the existence of conserved quantities. Then we establish the conservation theorem and its inverse for the Hamilton's canonical equations of motion of holonomic nonconservative dynamical systems in generalized classical mechanics. Finally, we give an example to illustrate the application of the results.