@Article{CMR-25-193, author = {Yang , Xue and Xu , Xu}, title = {Finding Periodic Solutions of High Order Duffing Equations via Homotopy Method}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {25}, number = {3}, pages = {193--203}, abstract = {

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.

}, issn = {2707-8523}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cmr/19326.html} }