Renormalized equations for a weakly nonlinear Duffing oscillator

J.J. Brey, J.M. Casado and M. Morillo

Physica A: Statistical Mechanics and its Applications, 1984, vol. 123, issue 2, 481-496

Abstract: We derive fluctuation renormalized transport equations for the averages position and velocity of a weakly nonlinear Duffing oscillator. We take the nonlinearity as the expansion parameter and use a modification of the van Kampen expasion method. Also, we study the spectral density of the equilibrium time correlation function of position. Comparison with other theories and computer data is carried out.

Date: 1984
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:123:y:1984:i:2:p:481-496

DOI: 10.1016/0378-4371(84)90167-5

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