Summary
The Van der Pol-Duffing equation with additive Gaussian noise is treated as a radiation problem by equating the noise with a stochastic electromagnetic field. If one defines the free spectrum of this field to be that for which the anharmonic terms are zero, then the hypothesis of radiation balance forces a change in the free spectrum. The magnitude of this change to first-order in the anharmonic coupling constant is calculated.
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Moore, S.M. Radiation balance and the stochastic van der pol-duffing equation. Lett. Nuovo Cimento 37, 490–494 (1983). https://doi.org/10.1007/BF02751797
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DOI: https://doi.org/10.1007/BF02751797