非线性Duffing扰动振子共振机制的研究

Abstract

Abstract: A class of nonlinear generalized Duffing disturbed mechanism is considered. The typical Duffing oscillator for resonance mechanism was found. Using the functional mapping method for the problem, a iteration of asymptotic solutions was constructed. Firstly, the initial approximate function of the Duffing model was obtained. Next, applied iteration relation, the arbitrary times asymptotic solutions to the model were solved successively. Then for a example, the generalized Duffing disturbed oscillator for stochastic resonance mechanism by using the functional homotopic mapping method was simple and valid. Finally, the importance foe the obtained asymptotic solutions was illustrated.

Key words: Disturbed, Resonance, Asymptotic solution

CLC Number:

O175.14

Ouyang Cheng, Mo Jiaqi. Study of Nonlinear Duffing Disturbed Oscillator for Resonance Mechanism[J].Acta mathematica scientia,Series A, 2018, 38(1): 190-196.

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References

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Study of Nonlinear Duffing Disturbed Oscillator for Resonance Mechanism

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