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物理学报. 2000, 49(7): 1207-1210.
doi: 10.7498/aps.49.1207.
包含伺服约束的非完整系统的Lie对称性与守恒量
- 收稿日期: 1999-11-14
- 修回日期: 1999-12-17
- 刊出日期: 2000-07-20
English Abstract
LIE SYMMETRIES AND CONSERVED QUANTITIES OF NONHOLONOMIC SYSTEMS WITH SERVOCONSTR AINTS
- Received Date:
14 November 1999
- Accepted Date:
17 December 1999
- Published Online:
20 July 2000
Abstract: Using the invariance of the algebraic equations and the differential equations under the infinitesimal transformations,we study the Lie symmetries and conserved quantities of the nonholonomic systems with servoconstraints.We establish the determining equations,the restriction equations and the structure equation,and give the form of conserved quantities.
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Keywords:
- nonholonomic system /
- servoconstraint /
- Lie symmetry /
- conserved quantity
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