Systematic treatment of fluctuations in a nonlinear oscillator

R.F. Rodríguez and N.G. Van Kampen

Physica A: Statistical Mechanics and its Applications, 1976, vol. 85, issue 2, 347-362

Abstract: 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.

Date: 1976
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Citations: View citations in EconPapers (55)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:85:y:1976:i:2:p:347-362

DOI: 10.1016/0378-4371(76)90054-6

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