中国物理B ›› 2001, Vol. 10 ›› Issue (3): 177-180.doi: 10.1088/1009-1963/10/3/301

• GENERAL •    下一篇

FORM INVARIANCE OF APPELL EQUATIONS

梅凤翔   

  1. Department of Applied Mechanics, Beijing Institute of Technology, Beijing 100081, China
  • 收稿日期:2000-08-30 出版日期:2005-06-12 发布日期:2005-06-12
  • 基金资助:
    Project supported by the National Natural Science Foundation (Grant No.19972010) and the Doctoral Program Foundation of Institution of Higher Education of China

FORM INVARIANCE OF APPELL EQUATIONS

Mei Feng-xiang (梅凤翔)   

  1. Department of Applied Mechanics, Beijing Institute of Technology, Beijing 100081, China
  • Received:2000-08-30 Online:2005-06-12 Published:2005-06-12
  • Supported by:
    Project supported by the National Natural Science Foundation (Grant No.19972010) and the Doctoral Program Foundation of Institution of Higher Education of China

摘要: The form invariance of Appell equations of holonomic mechanical systems under the infinitesimal transformations of groups is studied. The definition and the criterion of the form invariance of Appell equations are given. This form invariance can lead to a conserved quantity under certain conditions.

Abstract: The form invariance of Appell equations of holonomic mechanical systems under the infinitesimal transformations of groups is studied. The definition and the criterion of the form invariance of Appell equations are given. This form invariance can lead to a conserved quantity under certain conditions.

Key words: Appell equations, form invariance, Noether symmetry, conserved quantity

中图分类号:  (General theory of classical mechanics of discrete systems)

  • 45.05.+x