EFFECTS OF NON-CONSERVATIVE FORCES ON LIE SYMMETRIES AND CONSERVED QUANTITIES OF A LAGRANGE SYSTEM

• 来源期刊: 中国物理(海外版)
• 关键词: analytical mechanics Lagrange system non-conserved force Lie symmetry conserved quantity.
• 年，卷（期）: 2000,（11）
• 所属期刊栏目: GENERAL
• 页码范围: 801-804
• 页数: 4页
• 分类号: 0320
• 语种: 英文

摘要

Non-conservative forces are exerted on a Lagrange system.Their effects on Lie symmetries,structure equation and conserved quantities of the system are studied.It can be seen that some Lie symmetries disappear and some new Lie symmetries emerge.Under certain conditions,some Lie symmetries will still remain present.