Weak Noether symmetry for a nonholonomic controllable mechanical system

doi:10.1088/1674-1056/19/9/090302

Abstract This paper discusses the weak Noether symmetry for a nonholonomic controllable mechanical system of Chetaev type, and presents expressions of three kinds of conserved quantities obtained by using weak Noether symmetry. Finally, the application of these new results is illustrated by an example.

Keywords: weak Noether symmetry conserved quantity nonholonomic controllable mechanical system

Received: 04 September 2009
Revised: 06 April 2010
Accepted manuscript online:

PACS:

0320

Fund: Project supported by the Key Disciplines' Building Foundation of Henan Institute of Education of China, the Natural Science Foundation of Education Bureau of Henan Province, China(Grant No. 2009A140003) and the Young Core Instructor from Henan Institute of Education of China.

Cite this article:

Xia Li-Li(夏丽莉) and Shan Ling-Fang(山灵芳) Weak Noether symmetry for a nonholonomic controllable mechanical system 2010 Chin. Phys. B 19 090302

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