Finding Periodic Solutions of High Order Duffing Equations via Homotopy Method  

作　　者：YANG XUE Xu Xu 

机构地区：[1]College of Matheraatics, Jilin University, Changchun, 130012

出　　处：《Communications in Mathematical Research》2009年第3期193-203,共11页数学研究通讯（英文版）

基　　金：Partly by NSFC (10501017) under Grants

摘　　要：This paper presents a detailed analysis of finding the periodic solutions for the high order Duffing equation x^（2n） ＋ g（x） = e（t） （n ≥ 1）. Firstly, we give a constructive proof for the existence of periodic solutions via the homotopy method. Then we establish an efficient and global convergence method to find periodic solutions numerically.This paper presents a detailed analysis of finding the periodic solutions for the high order Duffing equation x^（2n） ＋ g（x） = e（t） （n ≥ 1）. Firstly, we give a constructive proof for the existence of periodic solutions via the homotopy method. Then we establish an efficient and global convergence method to find periodic solutions numerically.

关 键 词：high order Duffing equation periodic solution homotopy method 

分 类 号：O175.14[理学—数学] O221.2[理学—基础数学]