物理学报Issue(6)：060202-1-060202-7,7.DOI:10.7498/aps.63.060202
含非线性微扰项的二阶动力学系统的一阶近似守恒量的一种新求法
A new metho d to obtain first order approximate conserved quantities of second-ordinary dynamics system containing nonlinear p erturbation terms
摘要
Abstract
We consider the perturbed system as the combination of unperturbed system and perturbed term according to the characteristic of the first order approximate conserved quantities, and we suggest a new method to obtain the first order approximate conserved quantities by three steps: first, we select a suitable method to obtain the conserved quantity I0 of unperturbed system, second, we calculate the influence of perturbed terms on conserved quantity I0, and finally we obtain the first order approximate conserved quantities of the system by using the characteristic of the first order approximate conserved quantities. An actual two-dimensional nonlinear dynamics perturbed system is studied in this paper, and four stable first order approximate conserved quantities are obtained by using this new method. The expressions of first order approximate solution of the system are also obtained by transforming coordinates and using the perturbation method, and four special cases are discussed in this paper.关键词
非线性微扰/二阶动力学系统/一阶近似守恒量/坐标变换法Key words
nonlinear perturbed/second-ordinary dynamics systems/first order approximate conserved quantities/transformation of coordinates引用本文复制引用
楼智美..含非线性微扰项的二阶动力学系统的一阶近似守恒量的一种新求法[J].物理学报,2014,(6):060202-1-060202-7,7.基金项目
国家自然科学基金重点项目(批准号:10932002)资助的课题.@@@@Project Supported by the National Natural Science Foundation of China (Grant No.10932002) （批准号:10932002）
