Power Spectra of Systems Described by a Nonlinear Langevin Equation Driven by Random and Periodic Forces

概要

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Simulation was performed both by a digital computer and by an analog circuitconnected to a micro-computer, and stationary power spectra were measured.When onlv Gaussian white noise force was at>rlied additivelv to an ectuation ofinactive type, was observed the Lorentzian power spectrum, whose densitydecreased with increasing nonlinearity in low frequency region. An equation ofactive type also exhibits the Lorentzian power spectrum if random force wasweek. When random and periodic forces were applied simultaneously, the con-tinuous part of the power spectrum was also Lorentzian, but the low frequencydensity was reduced considerably. The experimentally obtained results wereconsistent with those obtained theoretically by using the statistical linearizationapproximation developed by Budger, Lindenberg and Shuler.
社団法人日本物理学会の論文
1984-06-15