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A variational iteration method to duffing equation
He Jihuan
CHINESE JOURNAL OF COMPUTATIONAL PHYSICS
1999, 16 (2):
121-127.
The forced oscillation of Duffing equation is studied by a variational iteration method. As a result, a uniformly valid asymptotic approximation in the entire region (0 < ε < ∞) is obtained, the maximal relative error of the period obtained is less than 5.66%, and the obtained primary resonance and superharmonic resonances are also uniformly valid in the entire region.
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