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完整力学系统的三类对称性与三类守恒量 被引量:10

THREE KINDS OF SYMMETRIES AND THREE KINDS OF CONSERVED QUANTITIES FOR HOLONOMIC SYSTEMS
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摘要 研究完整力学系统的Noether对称性、Lie对称性和形式不变性,以及由它们导致的Noether守恒量、Hojman守恒量和一类新型守恒量. The Noether symmetry, the Lie symmetry and the form invariance for holonomic systems were presented. The Noether conserved quantity, the Hojman conserved quantity and a new conserved quantity deduced by the above three kinds of symmetries were studied.
作者 梅凤翔
出处 《动力学与控制学报》 2004年第1期28-31,共4页 Journal of Dynamics and Control
基金 国家自然科学基金资助项目(10272021).~~
关键词 完整力学系统 NOETHER对称性 LIE对称性 形式不变性 NOETHER守恒量 HOJMAN守恒量 分析力学 analytical mechanics, holonomic system, symmetry, conserved quantity
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参考文献5

  • 1[5]Mei Fengxiong.Lie symmetries and conserved quantities of constrained mechanical systems.Acta Mechanica,2000,141(3~4):135~148
  • 2[6]Mei Fengxing.Nonholonomic mechanics.ASME,Appl Mech Rev,2000,53(11):283~305
  • 3[7]Mei Fengxiang.Form invariance of Lagrange system.J of Beijing Institute of Technology,2000,9 (2):120 ~ 124
  • 4[8]Mei Fengxiang.Form invariance of Appell equations.Chin Phys,2001,10(3):177~180
  • 5[11]Hojman SA.A new conservation law constructed without using either Lagrangians or Hamiltonians.J Phys A:Math Gen,1992,25:L291~295

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