Search Advanced
2006 Volume 15 Issue 1
Article Contents
Previous Article Next Article

Fu Jing-Li, Chen Li-Qun, Chen Xian-Wei. 2006: Momentum-dependent symmetries and non-Noether conserved quantities for nonholonomic nonconservative Hamilton canonical systems, Chinese Physics B, 15(1): 8-12.
Citation: Fu Jing-Li, Chen Li-Qun, Chen Xian-Wei. 2006: Momentum-dependent symmetries and non-Noether conserved quantities for nonholonomic nonconservative Hamilton canonical systems, Chinese Physics B, 15(1): 8-12.
shu

Momentum-dependent symmetries and non-Noether conserved quantities for nonholonomic nonconservative Hamilton canonical systems

  • Department of Physics,Zhejiang Sci-Tech University,Hangzhou 310018,China;Shanghai Institute of Applied Mathematics and Mechanics,Shanghai University,Shanghai 200072,China;Shangqiu Teachers College,Shangqiu 476000,China

  • Department of Mechanics,Shanghai University,Shanghai 200072,China;Shanghai Institute of Applied Mathematics and Mechanics,Shanghai University,Shanghai 200072,China

  • Shangqiu Teachers College,Shangqiu 476000,China

  • Available Online: 30/01/2006
  • Fund Project: the National Natural Science Foundation of China(Grant 10372053)%the Natural Science Foundation of Henan Province, China(Grant 0311011400 and 0511022200)%the State Key Laboratory of Scientific and Engineering Computin
  • This paper investigates the momentum-dependent symmetries for nonholonomic nonconservative Hamilton canonical systems. The definition and determining equations of the momentum-dependent symmetries are presented, based on the invariance of differential equations under infinitesimal transformations with respect to the generalized coordinates and generalized momentums. The structure equation and the non-Noether conserved quantities of the systems are obtained. The inverse issues associated with the momentum-dependent symmetries are discussed. Finally, an example is discussed to further illustrate the applications.
  • 加载中
  • 加载中
通讯作者: 陈斌, bchen63@163.com
  • 1. 

    沈阳化工大学材料科学与工程学院 沈阳 110142

  1. 本站搜索
  2. 百度学术搜索
  3. 万方数据库搜索
  4. CNKI搜索
Export Citation
PDF
XML

Article Metrics

Article views(159) PDF downloads(0) Cited by(0)

Access History

Momentum-dependent symmetries and non-Noether conserved quantities for nonholonomic nonconservative Hamilton canonical systems

  • Available Online: 30/01/2006

Abstract: This paper investigates the momentum-dependent symmetries for nonholonomic nonconservative Hamilton canonical systems. The definition and determining equations of the momentum-dependent symmetries are presented, based on the invariance of differential equations under infinitesimal transformations with respect to the generalized coordinates and generalized momentums. The structure equation and the non-Noether conserved quantities of the systems are obtained. The inverse issues associated with the momentum-dependent symmetries are discussed. Finally, an example is discussed to further illustrate the applications.

    HTML

Reference (0)

Catalog

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return