TY - JOUR
T1 - Finding Periodic Solutions of High Order Duffing Equations via Homotopy Method
AU - Yang , Xue
AU - Xu , Xu
JO - Communications in Mathematical Research 
VL - 3
SP - 193
EP - 203
PY - 2021
DA - 2021/07
SN - 25
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cmr/19326.html
KW - high order Duffing equation, periodic solution, homotopy method.
AB - <p style="text-align: justify;">This paper presents a detailed analysis of finding the periodic solutions for the high order Duffing equation $$x^{(2n)} + g(x) = e(t)&nbsp; &nbsp;(n≥1).$$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.</p>