Geometric formulations and variational integrators of discrete autonomous Birkhoff systemsProject supported by the National Natural Science Foundation of China (Grant Nos. 10872084 and 10932002), the Research Program of Higher Education of Liaoning Province, China (Grant No. 2008S098), the Program of Supporting Elitists of Higher Education of Liaoning Province, China (Grant No. 2008RC20), the Program of Constructing Liaoning Provincial Key Laboratory, China (Grant No. 2008403009), the Foundation Research Plan of Liaoning educational Bureau, China (Grant No. L2010147), and the Youth fund of Liaoning University, China (Grant No. 2008LDQN04).
Liu, Shi-Xing; Liu, Chang; Guo, Yong-Xin; Liu, Shi-Xing; Department of Mechanics, Beijing Institute of Technology, Beijing 100081, China; College of Physics, Liaoning University, Shenyang 110036, China; Liu, Chang; Department of Mechanics, Beijing Institute of Technology, Beijing 100081, China; Guo, Yong-Xin; College of Physics, Liaoning University, Shenyang 110036, China
Журнал:
Chinese Physics B
Дата:
2011-03-01
Аннотация:
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.
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