Weak Noether symmetry for a nonholonomic controllable mechanical system

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

中国物理B ›› 2010, Vol. 19 ›› Issue (9): 90302-090302.doi: 10.1088/1674-1056/19/9/090302

Weak Noether symmetry for a nonholonomic controllable mechanical system

夏丽莉, 山灵芳

Department of Physics, Henan Institute of Education, Zhengzhou 450046, China

收稿日期:2009-09-04 修回日期:2010-04-06 出版日期:2010-09-15 发布日期:2010-09-15
基金资助:
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 o

Weak Noether symmetry for a nonholonomic controllable mechanical system

Xia Li-Li(夏丽莉)^† and Shan Ling-Fang(山灵芳)

Department of Physics, Henan Institute of Education, Zhengzhou 450046, China

Received:2009-09-04 Revised:2010-04-06 Online:2010-09-15 Published:2010-09-15
Supported by:
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.

摘要/Abstract

摘要： 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.

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.

Key words: weak Noether symmetry, conserved quantity, nonholonomic controllable mechanical system

中图分类号:

0320

夏丽莉, 山灵芳. Weak Noether symmetry for a nonholonomic controllable mechanical system[J]. 中国物理B, 2010, 19(9): 90302-090302.

Xia Li-Li(夏丽莉) and Shan Ling-Fang(山灵芳). Weak Noether symmetry for a nonholonomic controllable mechanical system[J]. Chin. Phys. B, 2010, 19(9): 90302-090302.

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Weak Noether symmetry for a nonholonomic controllable mechanical system

Weak Noether symmetry for a nonholonomic controllable mechanical system

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