| Decomposition of almost-Poisson structure of generalised Chaplygin’s nonholonomic systems |
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| 引用本文： | 刘畅,常鹏,刘世兴,郭永新.Decomposition of almost-Poisson structure of generalised Chaplygin’s nonholonomic systems[J].中国物理 B,2010,19(3):30302-030302. |
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| 作者姓名： | 刘畅 常鹏 刘世兴 郭永新 |
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| 作者单位： | College of Physics, Liaoning University, Shenyang 110036, China;Department of Applied Mechanics, Beijing Institute of Technology,
Beijing 100081, China;College of Physics, Liaoning University, Shenyang 110036, China;College of Physics, Liaoning University, Shenyang 110036, China;College of Physics, Liaoning University, Shenyang 110036, China |
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| 基金项目： | Project supported by the National
Natural Science Foundation of China (Grant Nos.~10872084 and
10472040), the Outstanding Young Talents Training Fund of Liaoning
Province, China (Grant No.~3040005) and the Research Program of
Higher Education of Liaoning Province, China (Grant No.~2008S098). |
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| 摘 要： | This paper constructs an almost-Poisson structure for the non-self-adjoint dynamical systems,which can be decomposed into a sum of a Poisson bracket and the other almost-Poisson bracket.The necessary and sufficient condition for the decomposition of the almost-Poisson bracket to be two Poisson ones is obtained.As an application,the almostPoisson structure for generalised Chaplygin’s systems is discussed in the framework of the decomposition theory.It proves that the almost-Poisson bracket for the systems can be decomposed into the sum of a canonical Poisson bracket and another two noncanonical Poisson brackets in some special cases,which is useful for integrating the equations of motion.
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| 关 键 词： | almost-Poisson structure non-self-adjointness Jacobi identity generalised Chaplygin’s nonholonomic systems |
| 收稿时间： | 2/3/2009 12:00:00 AM |
Decomposition of almost-Poisson structure of generalised Chaplygin's nonholonomic systems |
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| Liu Chang,Chang Peng,LiuShi-Xing and Guo Yong-Xin.Decomposition of almost-Poisson structure of generalised Chaplygin''s nonholonomic systems[J].Chinese Physics B,2010,19(3):30302-030302. |
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| Authors: | Liu Chang Chang Peng LiuShi-Xing and Guo Yong-Xin |
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| Affiliation: | College of Physics, Liaoning University, Shenyang 110036, China; College of Physics, Liaoning University, Shenyang 110036, China;Department of Applied Mechanics, Beijing Institute of Technology,
Beijing 100081, China |
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| Abstract: | This paper constructs an almost-Poisson structure for the
non-self-adjoint dynamical systems, which can be decomposed into a
sum of a Poisson bracket and the other almost-Poisson bracket. The
necessary and sufficient condition for the decomposition of the
almost-Poisson bracket to be two Poisson ones is obtained. As an
application, the almost-Poisson structure for generalised
Chaplygin's systems is discussed in the framework of the
decomposition theory. It proves that the almost-Poisson bracket for
the systems can be decomposed into the sum of a canonical Poisson
bracket and another two noncanonical Poisson brackets in some special
cases, which is useful for integrating the equations of motion. |
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| Keywords: | almost-Poisson structure non-self-adjointness Jacobi
identity generalised Chaplygin's nonholonomic systems |
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