标题： 仅输出参数识别的有色噪声驱动的范德波尔振子——热声不稳定性作为例子 显示英文标题

标题： Output-only parameter identification of a colored-noise-driven Van der Pol oscillator -- Thermoacoustic instabilities as an example

摘要： 仅输出翻译结果，不包含任何其他内容。 显示英文摘要

摘要： The problem of output-only parameter identification for nonlinear oscillators forced by colored noise is considered. In this context, it is often assumed that the forcing noise is white, since its actual spectral content is unknown. The impact of this white noise forcing assumption upon parameter identification is quantitatively analyzed. First, a Van der Pol oscillator forced by an Ornstein-Uhlenbeck process is considered. Second, the practical case of thermoacoustic limit cycles in combustion chambers with turbulence-induced forcing is investigated. It is shown that in both cases, the system parameters are accurately identified if time signals are appropriately band-pass filtered around the oscillator eigenfrequency.