中文摘要：

<正>Based on Keller-Miksis model,the influences of multiple control parameters,such as acoustic pressure amplitude,acoustic frequency and bubble radius at rest,on the complicated dynamics characteristics of nonlinear bubble oscillation driven by acoustic wave are discussed by utilizing a variety of numerical analysis methods,and the restrictive relationships among different parameters are analyzed.It is shown that chaotic state can occur only in the condition of all of the parameters in the suitable threshold,as the same time,chaotic state is the result of interaction of multiple control parameters.Furthermore,the power spectral expansion and energy conversion are existed in this nonlinear system.It is certified that the stronger acoustic pressure amplitude,the greater the sub-harmonic energy,besides,the energy attenuation of fundamental harmonic is also much greater.

英文摘要：

Based on Keller-Miksis model, the influences of multiple control parameters, such as acoustic pressure amplitude, acoustic frequency and bubble radius at rest, on the complicated dynamics characteristics of nonlinear bubble oscillation driven by acoustic wave are discussed by utilizing a variety of numerical analysis methods, and the restrictive relationships among different parameters are analyzed. It is shown that chaotic state can occur only in the condition of all of the parameters in the suitable threshold, as the same time, chaotic state is the result of interaction of multiple control parameters. Fhrthermore, the power spectral expansion and energy conversion are existed in this nonlinear system. It is certified that the stronger acoustic pressure amplitude, the greater the sub-harmonic energy, besides, the energy attenuation of fundamental harmonic is also much greater.PACS numbers： 43.25, 43.35, 05.45