文献类型：期刊文献

中文题名：三自由度二阶非线性耦合动力学系统守恒量的扩展Prelle-Singer求法

英文题名：Finding conserved quantities of three-dimensional second-order nonlinear coupled dynamics systems by the extended Prelle-Singer method

作者：楼智美[1]

机构：[1]绍兴文理学院物理系

年份：2010

期号：6

起止页码：3633

中文期刊名：物理学报

外文期刊名：Acta Physica Sinica

收录：SCI-EXPANDED(收录号：WOS:000278672300002)、CSTPCD、、Scopus、CSCD2011_2012、北大核心2008、WOS、北大核心、CSCD

语种：中文

中文关键词：扩展Prelle-Singer法;三自由度非线性耦合动力学系统;守恒量

外文关键词：extended Prelle-Singer method; three-dimensional nonlinear coupled dynamics systems; conserved quantity

中文摘要：用扩展Prelle-Singer法(扩展P-S法)求三自由度二阶非线性耦合动力学系统的守恒量,得到了6个积分乘子满足的确定方程、约束方程和守恒量的一般形式,并讨论了确定积分乘子的方法.最后,用扩展P-S法求得了三质点Tada晶格问题的两个守恒量.

外文摘要：In this paper,the extended Prelle-Singer （ P-S） method is employed to finding the conserved quantities of three-dimensional second-order nonlinear coupled dynamic systems,the determining equations,the constraint equations of integral factors and the general expression of conserved quantities are obtained. The calculation method of integral factors is disscussed. Finally,two conserved quantities of three-particles Tada crystal lattice problem are found by extended P-S method.