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Systematic treatment of fluctuations in a nonlinear oscillator

A systematic expansion method is developed to account for the effect of fluctuations on the motion of a damped Duffing oscillator. The expansion parameter α is the magnitude of the fluctuations. To first order in α we calculate all the correlation functions and the corresponding spectral densities. The relation of this expansion to an approximation method proposed by Nordholm and Zwanzig is also discussed.
Year of publication:
1976
Authors: Rodríguez, R.F. ; Van Kampen, N.G.
Published in:
Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 85.1976, 2, p. 347-362
Publisher: Elsevier
Type of publication: Article
Source:
Persistent link: https://www.econbiz.de/10011058652
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