Direct method of finding first integral of two-dimensional autonomous systems in polar coordinates
Direct method of finding first integral of two-dimensional autonomous systems in polar coordinates作者机构：Department of Physics Shaoxing College of Arts and Sciences Shaoxing 312000 China Department of Mathematics Shaoxing College of Arts and Sciences Shaoxing 312000 China
出 版 物：《Chinese Physics B》 (中国物理B（英文版）)
年 卷 期：2006年第15卷第5期
页 面：895-898页
核心收录：
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题：direct method autonomous systems first integral polar coordinates
摘 要：A direct method to find the first integral for two-dimensional autonomous system in polar coordinates is suggested. It is shown that if the equation of motion expressed by differential 1-forms for a given autonomous Hamiltonian system is multiplied by a set of multiplicative functions, then the general expression of the first integral can be obtained, An example is given to illustrate the application of the results.
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