@Article{CMR-25-3, author = {Yang, Xue and Xu, Xu}, title = {Finding Periodic Solutions of High Order Duffing Equations via Homotopy Method}, journal = {Communications in Mathematical Research }, year = {2009}, 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/2009-CMR-19326}, url = {https://global-sci.com/article/81942/finding-periodic-solutions-of-high-order-duffing-equations-via-homotopy-method} }