Supposing the GPS common-view observation data has the 1/f fractal characteristic,the algorithm of wavelet transform is used to estimate the self-similar Hurst parameter H of GPS clock difference data.

Based on the fact that fractal is closely related to chaos, chaotic phenomenon of Batrachions is analyzed by using phase space reconstruction technique from a time series and the quantitative criterion and rule of system chaos, and strange attractors which have something to do with 1/ f distribution from Batrachions are found.

For a Pr<1 linearly-stratified fluid,scaling analysis demonstrates that the development of the boundary layer at the start-up stage is independent of the height but depends on time, while the scaling laws at the steady state stage are quite different from those at the end o.

Based on the scaling analysis introduced by Hentschel and Family,López proposed an analytical approach to determine anomalous dynamic scaling of the continuum growth equations.

This paper presents a review on the research progress of the flow behavior of weak negatively buoyant jets injected into homogeneous and linearly stratified ambient fluids by using the dimensional analysis and the scaling analysis,and the validation and quantification of the scaling relations characterizing the flow behavior by using direct numerical method.