The Borkhoffian expression of Boltzmann-Hamel equation of nonholonomic system and its generalized symplectic geometric algorithm
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Published:2012
Issue:23
Volume:61
Page:230201
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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.
Author:
Xie Jia-Fang ,Pang Shuo ,Zou Jie-Tao ,Li Guo-Fu ,
Abstract
For a Boltzmann-Hamel equation of nonholonomic mechanical system, when it meets certain conditions, the Boltzmann-Hamel equation can be transformed into a Birkhoffian system. By constructing the generating function, the system is investigated numerically using the generalized symplectic geometric algorithm of the nonautonomous Birkhoffian system. Compared with the above-mentioned algorithm with the classical Runge-Kutta method, Birkhoffian symplectic scheme is very accurate in a long-term tracing.
Publisher
Acta Physica Sinica, Chinese Physical Society and Institute of Physics, Chinese Academy of Sciences
Subject
General Physics and Astronomy
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2 articles.
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