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Geometric formulations and variational integrators of discrete autonomous Birkhoff systems |
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| Authors: | Liu Shi-Xing Liu Chang and Guo Yong-Xin |
| Institution: | Department of Mechanics, Beijing Institute of Technology, Beijing 100081, China; College of Physics, Liaoning University, Shenyang 110036, China |
| Abstract: | The variational integrators of autonomous Birkhoff systems are obtained by the discrete variational principle. The geometric structure of the discrete autonomous Birkhoff system is formulated. The discretization of mathematical pendulum shows that the discrete variational method is as effective as symplectic scheme for the autonomous Birkhoff systems. |
| Keywords: | autonomous Birkhoff syetem discrete variational principle variational integrators |
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