一类常见摆方程的摄动问题  

Perturbation Problems for a Class of Common Pendulum Equations

作　　者：孟凡卉 邱汶华 

机构地区：[1]枣庄学院数学与统计学院,山东 枣庄

出　　处：《理论数学》2021年第12期1967-1973,共7页Pure Mathematics

摘　　要：本文主要研究了一类常见摆方程的摄动问题。该摆方程不同于经典的摆方程。本文研究了此类方程带扰动形式的可约化性。借助于KAM迭代法的思想,通过无穷次迭代,可以将方程约化为系数为常数的形式。This paper focuses on perturbation problems for a class of common pendulum equations. The pendulum equations are different from classical pendulum equations. We study the reducibility of the perturbed form for such equations. With the thought of KAM iterative method, the equation can be reduced to a suitable form, and the coefficient will be reduced to constant by infinite iterations.

关 键 词：摆方程 迭代法 可约化性 

分 类 号：O17[理学—数学]