Year: 2009
Communications in Mathematical Research , Vol. 25 (2009), Iss. 3 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2009-CMR-19326
Communications in Mathematical Research , Vol. 25 (2009), Iss. 3 : pp. 193–203
Published online: 2009-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 11
Keywords: high order Duffing equation periodic solution homotopy method.