中国物理B ›› 2008, Vol. 17 ›› Issue (9): 3175-3179.doi: 10.1088/1674-1056/17/9/003

• GENERAL • 上一篇    下一篇

Weak Noether symmetry for nonholonomic systems of non-Chetaev type

解加芳, 冮铁强, 梅凤翔   

  1. College of Science, Beijing Institute of Technology, Beijing 100081, China
  • 收稿日期:2007-12-27 修回日期:2008-01-09 出版日期:2008-09-08 发布日期:2008-09-08
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10572021 and 10772025), and the Doctoral Programme Foundation of Institute of Higher Education of China (Grant No 20040007022).

Weak Noether symmetry for nonholonomic systems of non-Chetaev type

Xie Jia-Fang(解加芳), Gang Tie-Qiang(冮铁强), and Mei Feng-Xiang(梅凤翔)†   

  1. College of Science, Beijing Institute of Technology, Beijing 100081, China
  • Received:2007-12-27 Revised:2008-01-09 Online:2008-09-08 Published:2008-09-08
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10572021 and 10772025), and the Doctoral Programme Foundation of Institute of Higher Education of China (Grant No 20040007022).

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摘要： Based on the weak Noether symmetry proposed by Mei F X, this paper discusses the weak Noether symmetry for nonholonomic system of non-Chetaev type, and presents expressions of three kinds of conserved quantities by weak Noether symmetry. Finally, the application of this new results is showed by a practical example.

Abstract: Based on the weak Noether symmetry proposed by Mei F X, this paper discusses the weak Noether symmetry for nonholonomic system of non-Chetaev type, and presents expressions of three kinds of conserved quantities by weak Noether symmetry. Finally, the application of this new results is showed by a practical example.

Key words: weak Noether symmetry, conserved quantity, nonholonomic systems of non-Chetaev type

中图分类号:  (Dynamics and kinematics of a particle and a system of particles)

  • 45.50.-j
02.30.Jr (Partial differential equations) 45.20.Jj (Lagrangian and Hamiltonian mechanics)