Advances in Earth Science
• Articles •
LI Xin. CHAOS THEORY AND ITS APPLICATIONS TO ATMOSPHERIC BOUNDARY LAYER TURBULENCE RESEARCH[J]. Advances in Earth Science, 2000, 15(2): 178-183.
This paper mainly consists of four sections,its purpose is to give a brief overview of chaos theory and to discuss its applications to the atmospheric boundary layer turbulence in detail.We usually cite the original references and more recent review papers so that interested readers can easily find more detail concerning particular fields of study.Chaos theory and method for characterizing chaos are presented in section 2,including phase space reconstruction method,definition and calculation of fractal dimension and Lyapunov exponents.Applications of chaos theory to the atmospheric boundary layer turulence are discussed in section 3,recent research work of author is introduced:a large amount of observed data obtained by the sonic anemometer from two different field experiments at different places of China is analyzed, which is shown that all time series of atmospheric turbulence fluctuation exhibit chaotic behavior,with strange attractors whose (correlation)dimensions range from 3 to 7,all the maximum Lyapunov exponents are great than zero,as well as,it is first put forward that turbulence kinetic energy derived from turbulence wind speed as a variation is made use of calculating fractal dimension and the maximum lyapnunov exponent to characterize chaos.Finally,some suggestions for further work are given in section 4.