Nonlinear Dynamics Analysis On Lorenz Jieke Model System

Since the E.N.Lorenz established the system of Lorenz in 1963, the people havealready done a lot of work on this system. The dynamics behavior of the system ofLorenz already more and clearly, and the square distance of Lorenz can be accuratemodel of many phenomenon mentally dense sport. Mischaikow and Mrozek provedthe Lorenz system existence mentally dense behavior from the theories. Butconsidered the weather described by the system of Lorenz, The Lorenz Prandtlnumber within square distance takes the system to then can express a swift flowphenomenon( namely chaos behavior)10, but take 10 is not reasonable, the systemcan't describe the true circumstance of the atmosphere, because of for atmosphere,Prandtl number about 0.7. In the Atmospheric Sciences, the wind velocityperpendicularity slices to become to also have contribution to the atmosphere swiftflow. This thesis considered the factor and give the from Jieke. " Jieke" is first put forward by Hong Xing Cao who is the researcher of Chineseweather institute for research. The Jieke theories already in the approximate balance,dynamics and not line, several model etc. This thesis considered the system of Lorenzfrom the angle of the Jieke. adding in the square distance into the wind velocityperpendicularity to get a new model after slice become. We called the model to beLorenz Jieke model system. For clearing up the dynamics characteristic of the Lorenz Jieke model system, Ido a series un-line dynamics analysis on the system, such as phase spectrum,recurrence plot, reconstructing the state space, and pangkalai space cuts to face areassayed in qualitative. The correlation dimension and largest Lyapunov exponents areassayed in quantitative. In addition, we adopt to the method of surrogate data to assaythe correlation dimension and largest Lyapunov exponents. All analysis resultsexpress that the Lorenz Jieke model system still exists the mentally dense behavior.