一类极坐标形式的自治系统的首次积分(英文)  

First Integral of a Class of Autonomous Systems in Polar Coordinates

作　　者：汪文珑[1] 

机构地区：[1]绍兴文理学院元培学院,浙江绍兴312000

出　　处：《绍兴文理学院学报》2009年第8期1-5,共5页Journal of Shaoxing University

基　　金：supported by the Natural Science Foundation of china(10871226)

摘　　要：研究了一类极坐标形式的Hamiltonian自治系统,采用积分因子的方法,在一定条件下获得了该系统的首次积分的一般形式,并举例说明该结论的应用.A direct method to find the first integral of two - dimensional autonomous systems in polar coordinates is suggested. It shows that if the equations of motion expressed by differential 1 - forms for a given autonomous Hamiltonian system are multiplied by a set of multiplieative functions, then the general expression of the first integral can be obtained. Some examples are used to illustrate the application of the results.

关 键 词：自治系统 首次积分 极坐标 

分 类 号：O177.8[理学—数学]