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.
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)
关键词
自治系统
首次积分
极坐标
autonomous systems
first integral
polar coordinates
