A study on the Lagrangian image of the Birkhoffian representations
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Published:2010
Issue:1
Volume:59
Page:15
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ISSN:1000-3290
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Container-title:Acta Physica Sinica
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language:
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Short-container-title:Acta Phys. Sin.
Abstract
The Lagrangian image of the Birkhoffian representations is studied. The conditions that the second-order Lagrangians should satisfy are obtained, under which the generalized Lagrange equations are second-order differential equations. A new way for solving the inverse problem in Lagrange mechanics is presented. An error made in the study by some author is pointed out. Two examples are given to illustrate the application of the result.
Publisher
Acta Physica Sinica, Chinese Physical Society and Institute of Physics, Chinese Academy of Sciences
Subject
General Physics and Astronomy