The discrete variational principle and the first integrals of Birkhoff systems

• 来源期刊: 中国物理（英文版）
• 关键词: discrete mechanics Birkhoff system discrete Pfaffian Noether's theorem first integral
• 年，卷（期）: 2007,（3）
• 页码范围: 582-587
• 页数: 6页
• 语种: 英文

摘要

This paper shows that first integrals of discrete equation of motion for Birkhoff systems can be determined explicitly by investigating the invariance properties of the discrete Pfaffian.The result obtained is a discrete analogue of theorem of Noether in the calculus of variations.An example is given to illustrate the application of the results.