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Abstract

A class of nonlinear generalized Duffing equation for disturbed oscillator is considered. Firstly, the typical Duffing equation is solved. Then approximate solutions to the nonlinear Duffing equation for disturbed oscillators in stochastic resonance is obtained using the generalized functional variation principle, and the uniform validity is proved.

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Funds:Project supported by the National Natural Science Foundation of China (Grant No. 41275062), the Natural Science Foundation of Zhejiang Province, China (Grant No. LY13A010005), and the Natural Science Foundation of the Education Department of Anhui Province, China (Grant No. KJ2013B003).

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Vol. 63, Issue 17 - 2014-09-05

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