Welcome to Journal of Beijing Institute of Technology
Advance Search
Volume 9Issue 2
.
Turn off MathJax
Article Contents
Article Navigation> JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY> 2000> 9(2): 131-137
ZHAO Shu-xin, SHANG Mei, MEI Feng-xiang. Lie Symmetries and Conserved Quantities of Arbitrary Order Nonholonomic Systems[J]. JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY, 2000, 9(2): 131-137.
Citation: ZHAO Shu-xin, SHANG Mei, MEI Feng-xiang. Lie Symmetries and Conserved Quantities of Arbitrary Order Nonholonomic Systems[J].JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY, 2000, 9(2): 131-137.
shu

Lie Symmetries and Conserved Quantities of Arbitrary Order Nonholonomic Systems

  • Department of Applied Mechanics, Beijing Institute of Technology, Beijing 100081

Funds:NationalNaturalScienceFoundation (19972010);FundforResearchonDoctoralProgramsinInstitutionsofHigherLearning
  • Received Date:1999-09-09
    Abstract
  • The invariance of the differential equations under the infinitesimal transformations was used to study the Lie symmetries and conserved quantities of arbitrary order nonholonomic systems. The determining equations, the restriction equations, the structure equation and the form of the conserved quantities were obtained.
    • FullText(HTML)
  • loading
    • References (14)
  • [1]
    Djukic Dj S, Vujanovic B D. Noether's theory in classical nonconservative mechanics[J]. ActaMechanica, 1975, 23: 17-27.
    [2]
    Li Ziping. The tr ansformation properties of constrained system[J]. Acta Physica Sinica (in Chi-nese), 1981, 30: 1659-1671.
    [3]
    Bahar L Y, Kwantny H G. Extension of Noet her! s theorem to constrained nonconservativ e dy-namical systems[J]. Int J Non??Linear Mech, 1987, 22: 125-138.
    [4]
    Sarlet W, Cantrijn F, Crampin M. Pseudo??symmetr ies, Noether! s theorem and the adjointequation[J]. J Phys A: Math Gen, 1987, 20: 1365-1376.
    [5]
    Liu D. Noether's theorem and its inverse of nonholonomic nonconservative dy namical systems[J]. Science in China, 1991, 34: 419-429.
    [6]
    Olver P J. Applications of Lie groups to differ ential equations[M]. New Yor k: Spr ing er-Verlag,1986.
    [7]
    Bluman G W, Kumei S. Symmetries and differential equations
    [M]. New York: Spr inger-Ver-lag, 1989.
    [8]
    Ibrag imo v N H. CRC Handboo k of Lie gr oup analysis of differential equations[M]. Boca Raton:CRC Press, 1994.
    [9]
    Lutzky M. Dynamical symmetries and co nserved quantities[J]. J Phys A: Math Gen, 1979, 12:973-981.
    [10]
    Pr ince G E, Elizer C J. On the Lie symmetries of t he classical Kepler problem [J]. J Phys A:Math Gen, 1981, 14: 587-596.
    [11]
    Lakshmanam M, Sahadevan R. Generalized Lie symmetr ies and complete integ rability proper tiesfor Hamilton systems w ith three degrees of freedom[J]. J Math Phys, 1991, 32: 75-85.
    [12]
    Zhao Yueyu. Conservativ e quantities and Lie's symmetries of nonconservative dynamical systems[J]. Acta Mechanica Sinica (in Chinese), 1994, 26: 380-384.
    [13]
    Mei Fengx iang . On an integr at ion method of the equatio ns of motion of the nonholonomic sys-tems with higher order constraints[J]. P M M (in Russian), 1991: 55(4): 691-695.
    [14]
    Mei Fengx iang . Lie symmetr ies and conser ved quantities of holonomic systems w ith remaindercoordinates[J]. J of Beijing Institute of Technology, 1998, 7(1): 26-31.
    • Relative Articles
  • Supplements (0)
  • Cited By
  • 加载中

Catalog

    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
    Get Citation
    PDF
    XML

    Article Metrics

    Article views (220) PDF downloads(0) Cited by()
    Proportional views
    Related

    Address:5 Zhongguancun South Street, Haidian District, Beijing

    Tel:86-10-68914374

    Email:blgywb@bit.edu.cn

    Copy Right © Journal of Beijing Institute of Technology

    Supported by:Beijing Renhe Information Technology Co. Ltd

    /

      Return
      Return
        Baidu
        map