Chinese Science Bulletin

, Volume 44, Issue 4, pp 318–320 | Cite as

Lie symmetry and conservation law of Birkhoffian system

  • Fengxiang Mei


The Lie symmetry of Birkhoffian system was studied, the condition under which the system admits the one-parameter Lie group of transformation with infinitesimal generator was given, and the structural equation and the conservation law of the system was obtained.


symmetry conservation law Birkhoffian system 


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    Santilli, R. M.,Foundations of Theoretical Mechanics, II, New York: Springer-Verlag, 1983, 30–42.Google Scholar
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    Mei Fengxiang, Shi Rongchang, Zhang Yongfaet al., Dynamics of Birkhoffian Systems (in Chinese), Beijing: Beijing Institute of Technology Press, 1996, 2–9.Google Scholar
  3. 3.
    Zhao Yueyu, Mei Fengxiang, On symmetry and invariant of dynamical systems,Advances in Mechanics (in Chinese), 1993, 23(3): 360.Google Scholar

Copyright information

© Science in China Press 1999

Authors and Affiliations

  • Fengxiang Mei
    • 1
  1. 1.Department of Applied MechanicsBeijing Institute of TechnologyBeijingChina

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