This paper presents the analytical and approximate solutions of the coupled chaotic Van der Pol-Duffing systems, by using the He's parameter-expansion method (PEM). One iteration is sufficient to obtain a highly accurate solution, which is valid for the whole solution domain. From the obtained results, we can conclude that the suggest method, is of utter simplicity, and can be easily extended to all kinds of non-linear equations.
Sweilam, N. H. and Khader, M. M.
A Note on He’s Parameter-Expansion Method of Coupled Van der Pol–Duffing Oscillators,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 5,
3, Article 8.
Available at: https://digitalcommons.pvamu.edu/aam/vol5/iss3/8