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.
Received: 27 December 2007
Revised: 09 January 2008
Accepted manuscript online:
PACS:
45.50.-j
(Dynamics and kinematics of a particle and a system of particles)
Fund: 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).
Cite this article:
Xie Jia-Fang(解加芳), Gang Tie-Qiang(冮铁强), and Mei Feng-Xiang(梅凤翔) Weak Noether symmetry for nonholonomic systems of non-Chetaev type 2008 Chin. Phys. B 17 3175
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