【摘要】 本文推导出二维线性和非线性随机动力模式的Fokker—Planck方程,得到其稳定态的解析解和气候势函数,并应用于广东气温和南方涛动的随机分析。计算结果表明,线性模式能明确反映广东气温和南方涛动之间的反馈关系;非线性模式则表明非线性作用使广东气温和南方涛动之间的稳定平衡更趋于合理化。更多还原

【Abstract】 From the Fokker-Planck equations derived in this paper for 2-dimensional linear and non-linear stochastic and dynamic models, analystic solutions and function of climatic potential are obtained and applied in a stochastic analysis of temperature variations in Guangdong Province and Southern Oscillations. Computation shows that the linear model clearly reflects the feedback relationship between them while the non-li near model indicates a more rational tendency for stable equilibrium between them that is made possible by nonlinearity.更多还原