Reconstructing the Attractors of Atmospheric Turbulence
大气湍流的混沌吸引子特征

The attractor of turbulent flow in the phase space was reconstructed by using the time de- lay technique with the observed data of atmospheric turbulence which include the high resolution temperature, humidity and three components wind speed data in Gansu and Beijing. The correlation dimension and the largest Lyapunov exponent are estimated. The results indicate that all the largest Lyapunov exponent in different conditions of time, site and atmospheric stability are greater than zero. This means that atmospheric turbulence system is really chaotic and has appropriate low dimension strange attractors, dimension numbers of which are found to be between 3 to 7 and vary with different variables (dynamical variables or non-dynamical variables) and atmospheric stability. The turbulent kinetic energy is first applied to reconstruct the attractor of turbulence, as is found to be feasible.