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Lagrangian mechanics without ordinary differential equations

Published:2006-06 Issue:3 Volume:57 Page:437-443
ISSN:0034-4877
Container-title:Reports on Mathematical Physics
language:en
Short-container-title:Reports on Mathematical Physics

Author:

Patrick George W.

Publisher

Elsevier BV

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference8 articles.

1. Foundations of Mechanics;Abraham,1978

2. Manifolds, Tensor Analysis, and Applications;Abraham,1988

3. C. Cuell and G. W. Patrick: Discretizations of Lagrangian mechanics, in preparation.

4. The Morse lemma in infinite dimensions via singularity theory;Golubitsky;SIAM J. Math. Anal.,1983

5. Differential Manifolds;Lang,1972

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Geometric Integrators for Higher-Order Variational Systems and Their Application to Optimal Control;Journal of Nonlinear Science;2016-07-01

2. Simulating nonholonomic dynamics;SeMA Journal;2010-03

3. Error analysis of variational integrators of unconstrained Lagrangian systems;Numerische Mathematik;2009-07-08

4. Geometric discrete analogues of tangent bundles and constrained Lagrangian systems;Journal of Geometry and Physics;2009-07

5. Lagrangian mechanics as a skew critical problem;Reports on Mathematical Physics;2007-12

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