Form invariances and Lutzky conserved quantities for Lagrange systems

• 来源期刊: 中国物理（英文版）
• 关键词: symmetry form invariance conserved quantity Latrange system
• 年，卷（期）: 2005,（3）
• 页码范围: 449-451
• 页数: 3页
• 语种: 英文

摘要

This paper focuses on studying a form invariance which can result in a Lutzky conserved quantity for a Lagrange system. The criterion of the form invariance for the system is given. The necessary and sufficient condition under which the form invariance is a Lie symmetry for the system is obtained. Lutzky's result is utilized to prove that the form invariance can lead to a Lutzky conserved quantity. Two examples are finally given to illustrate the application of the result.