A strategy is proposed to characterize, model, and develop adaptive feedback control algorithms suitable for nonlinear cavity oscillations. The Phase I effort focuses on the characterization of cavity oscillations via detailed analyses of previously obtained experimental data and companion CFD modeling of the nonlinear phenomenon. These efforts will help us to develop a prototype nonlinear adaptive feedback control scheme. The follow-on Phase II study will further develop and validate the modeling and feedback control schemes via wind tunnel tests. The significance of this effort is that tile resulting analysis tools can be used to systematically understand and control complex nonlinear phenomena that are prevalent; in many areas of fluid dynamics. The approach here is innovative in the application of advanced wavelet methods to identify and control nonlinear fluid-dynamic processes. The proposed tools may be applied to the design of virtually any fluid dynamic system, such as airfoils, nozzles, and diffusers