苏州科技大学学报（自然科学版）2018，Vol.35Issue(1)：1-5,15,6.DOI:10.12084/j.issn.2096-3289.2018.01.001
广义Birkhoff系统的分离变量与局部能量积分
Separation of variables and integrals of partial energy for a generalized Birkhoffian system
摘要
Abstract
In order to further study the first integral and corresponding dynamical property for a constrained me-chanical system,this paper proposed and explored the separation of variables and the integrals of partial energy for a generalized Birkhoffian system. Out of the generalized Birkhoff equation,the conditions and the forms of the integrals of partial energy in the generalized Birkhoffian system are investigated when the separated variables are single and coupled respectively.The results are applied to the Birkhoffian system. Finally,four examples are giv-en to illustrate the application of the results.关键词
广义Birkhoff系统/局部能量积分/分离变量Key words
generalized Birkhoffian system/integral of partial energy/separation of variables分类
数理科学引用本文复制引用
张毅..广义Birkhoff系统的分离变量与局部能量积分[J].苏州科技大学学报（自然科学版）,2018,35(1):1-5,15,6.基金项目
国家自然科学基金资助项目(11572212 （）
11272227) （）
