Construction of the solution of variational equations for constrained Birkhoffian systems

doi:10.1088/1009-1963/11/5/305

中国物理B ›› 2002, Vol. 11 ›› Issue (5): 437-440.doi: 10.1088/1009-1963/11/5/305

Construction of the solution of variational equations for constrained Birkhoffian systems

张毅

Department of Urban Construction, University of Science and Technology of Suzhou, Suzhou 215011, China

收稿日期:2001-10-27 修回日期:2001-12-26 出版日期:2005-06-13 发布日期:2005-06-13
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No 19972010), and the "Qing Lan" Project Foundation of Jiangsu Province, China.

Construction of the solution of variational equations for constrained Birkhoffian systems

Zhang Yi (张毅)

Department of Urban Construction, University of Science and Technology of Suzhou, Suzhou 215011, China

Received:2001-10-27 Revised:2001-12-26 Online:2005-06-13 Published:2005-06-13
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No 19972010), and the "Qing Lan" Project Foundation of Jiangsu Province, China.

摘要/Abstract

摘要： In this paper we present the variational equations of constrained Birkhoffian systems and study their solution. It is proven that, under some conditions, a particular solution of variational equations can be obtained by using a first integral. At the end of the paper, an example is given to illustrate the application of the results.

Abstract: In this paper we present the variational equations of constrained Birkhoffian systems and study their solution. It is proven that, under some conditions, a particular solution of variational equations can be obtained by using a first integral. At the end of the paper, an example is given to illustrate the application of the results.

Key words: analytical mechanics, constrained Birkhoffian system, variational equation, first integral

中图分类号: (Calculus of variations)

02.30.Xx

02.30.Rz (Integral equations) 02.30.Jr (Partial differential equations)

张毅. Construction of the solution of variational equations for constrained Birkhoffian systems[J]. 中国物理B, 2002, 11(5): 437-440.

Zhang Yi (张毅). Construction of the solution of variational equations for constrained Birkhoffian systems[J]. Chinese Physics, 2002, 11(5): 437-440.

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Construction of the solution of variational equations for constrained Birkhoffian systems

Construction of the solution of variational equations for constrained Birkhoffian systems

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