在EOF分解开拓的相空间中建立动力系统

ESTABLISHMENT OF DYNAMIC SYSTEM IN EOFD-EXTENDED PHASE SPACE

用自然正交函数(EOF)分解的方法开拓相空间,在正交基下利用最小二乘法求解具有二次非线性项的状态演化方程中的各项系数,从而建立起能反映有限区域天气气候系统演化特征的动力系统,并与用时间序列漂移拓展相空间的方法作了比较。结果表明,在用 EOF 分解开拓的相空间中建立的动力系统,有可能对天气系统的演化作出更精确、更符合实际的描述。

A dynamic system describing limited-area weather/climate evolution is established in EOFD-extended phase space through the least square method,under the condition of orthogonal basis,for coefficients of the state evolution equation containing quadratic nonlinear terms,along- side the comparison to the results from the phase space continued by time series drift.Evidence suggests that the presented dynamic system is likely to give more accurate and realistic description of weather/climate development.