摘要
本文从浑沌和奇怪吸引子的遍历理论出发,用大气湍流资料计算了Lyapunov指数(LE)和分数维数(FD)。结果表明,在一定参数下,由所用资料算得第一个指数LE_(1)为+0.1—+0.4,FD为2.3。根据计算结果讨论了大气运动的浑沌状态。
Basing on the ergodic theory on chaos and strange attractors,Lyapunov exponent(LE)and fractal dimension(FD)are computed by using the atmospheric turbulent data X(t).In the case of fixed evolution time,the computation technique of LE can be separated into two parts:reconstruction of embedding phase space R(m) from X(t) and computation of LE_(1) with respect to various parameters.The algorithm for FD can also be separated:reconstruction of R(m)from X(t)and computation of relation integral and dimension for approching to FD.In our work for m=3,LE_(1) is +0.1-+-0.4 and FD is 2.1-2.7.Theseresults are in accordence with theoritical analysis.Moreover,the relations of LE and FD to some control parameters are represented,respectively.
作者
郑祖光
刘式达
Zheng Zuguang;Liu Shida(Beijing Institute of Meteorology;Department of Geophysics,Peking University)
出处
《气象学报》
1988年第1期41-48,共8页
Acta Meteorologica Sinica
基金
国家自然科学基金资助项目。
