Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (1): 53-57.

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A FORM INVARIANCE OF CONSTRAINED BIRKHOFFIAN SYSTEM

CHEN Xiang-wei1, LUO Shao-kai1,3, MEI Feng-xiang2   

  1. 1. Department of Physics, Shangqiu Teachers College, Shangqiu, Henan 476000, P. R. China;
    2. Department of Applied Mechanics, Beijing Institute of Technology, Beijing 100081, P. R. China;
    3. Institute of Mathematical Mechanics and Mathematical Physics, Changsha University, Changsha 410003, P. R. China
  • Received:2000-03-14 Revised:2001-08-26 Online:2002-01-18 Published:2002-01-18
  • Supported by:

    the National Natural Science Foundation of China(19972012), the Doctoral Program Foundation of Institution of Higher Education of China and the Natural Science Foundation ot Henan(998040080)

Abstract: The form invariance of constrained Birkhoffian system is a kind of invariance of the constrained Birkhoffian equations under infinitesimal transformations. The definition and criteria of the form invariance of constrained Birkhoffian system are given, and the relation of the form invariance and the Noether symmetry is studied.

2010 MSC Number: 

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